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# Thermodynamics 2 IIT JAM Notes | EduRev

## IIT JAM : Thermodynamics 2 IIT JAM Notes | EduRev

``` Page 1

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1
1. The heat capacity of 10 mol of an ideal gas at a certain temperature is 300 JK
–1
at constant pressure. The
heat capacity of the same gas at the same temperature and at constant volume would be
(a) 383 JK
–1
(b) 217 JK
–1
(c) 134 JK
–1
(d) 466 JK
–1
2. The internal pressure
T
( U / V) ? ? of a real gas is related to the compressibility factor Z pV / RT ? by [
V
is the molar volume]
(a)
T T
( U / V) RT( Z / V) ? ? ? ? ? (b)
T
( U / V) RT /(V Z) ? ? ?
(c)
2
T T
( U / V) (RT / V)( Z/ V) ? ? ? ? ? (d)
2
T V
( U / V) (V / RT )( Z / T) ? ? ? ? ?
3. What is limitation of first law of the thermodynamics
(a) Does not predict about the direction of flow of heat
(b) Does not tell whether the reaction is feasible or not
(c) a and b both
(d) None of these
4. Entropy is
(1) It is the degree of disorder of randomness in a system
(2) Entropy is a state function and mixing is always positive
(3) Entropy is a intensive property
(4) Entropy of solid is minimum and gases is maximum
(5) Entropy increase with temperature, and complexity and atomicity
Right statement is
(a) 1, 2, 3, 4 (b) 1, 2, 4, 5 (c) 2, 3, 4 (d) 1, 3, 5
5. For which of the following pairs choose the substances with the higher entropy per mole at a given
temperature
(i) O
2
gas at 5 atm or O
2
gas at 0.5 atm (ii) Br
2
(l) or Br
2
(g)
(a) O
2
gas at 5 atm (ii) Br
2
(l) (b) O
2
gas at 0.5 atm (ii) Br
2
(l)
(c) O
2
gas at 5 atm (ii) Br
2
gas (d) O
2
gas at 0.5 atm (iii) Br
2
gas
6. For which of the following process will ?Sº system be the most positive
(a) 2SO
2
(g) + O
2
(g) ? 2SO
3
(g) (b) 2NH
3
(g) ? N
2
(g) + 3H
2
(g)
(c) Hg(l) ? Hg(s) (d) 4Fe(s) + 3O
2
(g) ? 2Fe
2
O
3
(s)
7. The molar heat of vaporization for ethanol is 37.4 KJ/mole if the boiling point of ethanol is 78.0ºC calcu-
late ?S in J/K for the vaporization of 0.500 mole ethanol.
(a) 53.3 (b) 107 (c) 0.053 (d) 240
Daily Assignment Physical Chemistry IIT-JAM – 2015

THERMODYNAMICS - 2
Page 2

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1
1. The heat capacity of 10 mol of an ideal gas at a certain temperature is 300 JK
–1
at constant pressure. The
heat capacity of the same gas at the same temperature and at constant volume would be
(a) 383 JK
–1
(b) 217 JK
–1
(c) 134 JK
–1
(d) 466 JK
–1
2. The internal pressure
T
( U / V) ? ? of a real gas is related to the compressibility factor Z pV / RT ? by [
V
is the molar volume]
(a)
T T
( U / V) RT( Z / V) ? ? ? ? ? (b)
T
( U / V) RT /(V Z) ? ? ?
(c)
2
T T
( U / V) (RT / V)( Z/ V) ? ? ? ? ? (d)
2
T V
( U / V) (V / RT )( Z / T) ? ? ? ? ?
3. What is limitation of first law of the thermodynamics
(a) Does not predict about the direction of flow of heat
(b) Does not tell whether the reaction is feasible or not
(c) a and b both
(d) None of these
4. Entropy is
(1) It is the degree of disorder of randomness in a system
(2) Entropy is a state function and mixing is always positive
(3) Entropy is a intensive property
(4) Entropy of solid is minimum and gases is maximum
(5) Entropy increase with temperature, and complexity and atomicity
Right statement is
(a) 1, 2, 3, 4 (b) 1, 2, 4, 5 (c) 2, 3, 4 (d) 1, 3, 5
5. For which of the following pairs choose the substances with the higher entropy per mole at a given
temperature
(i) O
2
gas at 5 atm or O
2
gas at 0.5 atm (ii) Br
2
(l) or Br
2
(g)
(a) O
2
gas at 5 atm (ii) Br
2
(l) (b) O
2
gas at 0.5 atm (ii) Br
2
(l)
(c) O
2
gas at 5 atm (ii) Br
2
gas (d) O
2
gas at 0.5 atm (iii) Br
2
gas
6. For which of the following process will ?Sº system be the most positive
(a) 2SO
2
(g) + O
2
(g) ? 2SO
3
(g) (b) 2NH
3
(g) ? N
2
(g) + 3H
2
(g)
(c) Hg(l) ? Hg(s) (d) 4Fe(s) + 3O
2
(g) ? 2Fe
2
O
3
(s)
7. The molar heat of vaporization for ethanol is 37.4 KJ/mole if the boiling point of ethanol is 78.0ºC calcu-
late ?S in J/K for the vaporization of 0.500 mole ethanol.
(a) 53.3 (b) 107 (c) 0.053 (d) 240
Daily Assignment Physical Chemistry IIT-JAM – 2015

THERMODYNAMICS - 2
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 09555785548, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com
2
8. For the gaseous substance
v
P
T
? ? ?
? ?
?
? ?
= ?
(a) / ? ? (b) / ? ? ? (c) / ? ? (d) / ? ? ?
9. For a gaseous substances C
p
– Cv =
(a)
v p
P V
V
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(b)
v p
P V
T
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(c)
v p
T V
T
P T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(d)
v p
T T
T
P V
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
10. Among the following the system require higher amount of thermal energy to giving the temperature 80ºC
(a) 200 gm at 40ºC (b) 100 gm at 20ºC (c) 150 gm at 50ºC (d) 300 gm at 30ºC
11. What is the internal pressure for 4 mole of V andar walls gas.
(a) zero (b)
2
a
V
(c)
2
4a
V
(d)
2
16a
V
12. Which relation is correct in this equation
(1) P
– 1
V
– ?
(2) T
– 1
V
1 – ?
(3) P
1 – ?
T
– ?
(a) 1, 2, 3 (b) 1, 2 (c) 1, 3 (d) 2, 3
13. Which statement is correct
(1) P
iso
> P
(2) V
iso
> V
(3) q
rev
< q
irren
(4) w
iso
> w
(a) 1, 2, 4 (b) 1, 2, 3, 4 (c) 2, 3 (d) 1, 4, 3
14. µ
JT
for ideal and V ander walls gases respectively
(a) 0, 0 (b)
P
1 2a
O, b
C RT
? ?
?
? ?
? ?
(c)
P
1 2a
P, b
C RT
? ?
?
? ?
? ?
(d)
V
1 2a
O, b
C RT
? ?
?
? ?
? ?
15. Match the following
(1) 2a / Rb (A) T
i
(2) a / Rb (B) T
B
(3) 8a / 27 Rb (C) T
C
1 2 3
(a) B C A
(b) A B C
(c) C B A
(d) A C B
16. dU for Isothermal Process for V ander walls gas and Ideal gas respectively
(a)
2
2 1
1 1
n a ,O(zero)
V V
? ?
? ?
? ?
? ?
(b) O(Zero), O(Zero)
(c)
2
2 1
1 1
n a ,O Zero
V V
? ?
?
? ?
? ?
(d)
2
1 2
1 1
n a ,T
V V
? ?
?
? ?
? ?
17. For an irreversible isothermal expansion of a perfect gas from V
i
to V
f
, the change in entropy of the gas is
(a) NR ln(V
f
/ V
i
) (b) Zero (c) less than zero (d) greater than zero
Page 3

2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 09555785548, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com
1
1. The heat capacity of 10 mol of an ideal gas at a certain temperature is 300 JK
–1
at constant pressure. The
heat capacity of the same gas at the same temperature and at constant volume would be
(a) 383 JK
–1
(b) 217 JK
–1
(c) 134 JK
–1
(d) 466 JK
–1
2. The internal pressure
T
( U / V) ? ? of a real gas is related to the compressibility factor Z pV / RT ? by [
V
is the molar volume]
(a)
T T
( U / V) RT( Z / V) ? ? ? ? ? (b)
T
( U / V) RT /(V Z) ? ? ?
(c)
2
T T
( U / V) (RT / V)( Z/ V) ? ? ? ? ? (d)
2
T V
( U / V) (V / RT )( Z / T) ? ? ? ? ?
3. What is limitation of first law of the thermodynamics
(a) Does not predict about the direction of flow of heat
(b) Does not tell whether the reaction is feasible or not
(c) a and b both
(d) None of these
4. Entropy is
(1) It is the degree of disorder of randomness in a system
(2) Entropy is a state function and mixing is always positive
(3) Entropy is a intensive property
(4) Entropy of solid is minimum and gases is maximum
(5) Entropy increase with temperature, and complexity and atomicity
Right statement is
(a) 1, 2, 3, 4 (b) 1, 2, 4, 5 (c) 2, 3, 4 (d) 1, 3, 5
5. For which of the following pairs choose the substances with the higher entropy per mole at a given
temperature
(i) O
2
gas at 5 atm or O
2
gas at 0.5 atm (ii) Br
2
(l) or Br
2
(g)
(a) O
2
gas at 5 atm (ii) Br
2
(l) (b) O
2
gas at 0.5 atm (ii) Br
2
(l)
(c) O
2
gas at 5 atm (ii) Br
2
gas (d) O
2
gas at 0.5 atm (iii) Br
2
gas
6. For which of the following process will ?Sº system be the most positive
(a) 2SO
2
(g) + O
2
(g) ? 2SO
3
(g) (b) 2NH
3
(g) ? N
2
(g) + 3H
2
(g)
(c) Hg(l) ? Hg(s) (d) 4Fe(s) + 3O
2
(g) ? 2Fe
2
O
3
(s)
7. The molar heat of vaporization for ethanol is 37.4 KJ/mole if the boiling point of ethanol is 78.0ºC calcu-
late ?S in J/K for the vaporization of 0.500 mole ethanol.
(a) 53.3 (b) 107 (c) 0.053 (d) 240
Daily Assignment Physical Chemistry IIT-JAM – 2015

THERMODYNAMICS - 2
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 09555785548, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com
2
8. For the gaseous substance
v
P
T
? ? ?
? ?
?
? ?
= ?
(a) / ? ? (b) / ? ? ? (c) / ? ? (d) / ? ? ?
9. For a gaseous substances C
p
– Cv =
(a)
v p
P V
V
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(b)
v p
P V
T
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(c)
v p
T V
T
P T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(d)
v p
T T
T
P V
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
10. Among the following the system require higher amount of thermal energy to giving the temperature 80ºC
(a) 200 gm at 40ºC (b) 100 gm at 20ºC (c) 150 gm at 50ºC (d) 300 gm at 30ºC
11. What is the internal pressure for 4 mole of V andar walls gas.
(a) zero (b)
2
a
V
(c)
2
4a
V
(d)
2
16a
V
12. Which relation is correct in this equation
(1) P
– 1
V
– ?
(2) T
– 1
V
1 – ?
(3) P
1 – ?
T
– ?
(a) 1, 2, 3 (b) 1, 2 (c) 1, 3 (d) 2, 3
13. Which statement is correct
(1) P
iso
> P
(2) V
iso
> V
(3) q
rev
< q
irren
(4) w
iso
> w
(a) 1, 2, 4 (b) 1, 2, 3, 4 (c) 2, 3 (d) 1, 4, 3
14. µ
JT
for ideal and V ander walls gases respectively
(a) 0, 0 (b)
P
1 2a
O, b
C RT
? ?
?
? ?
? ?
(c)
P
1 2a
P, b
C RT
? ?
?
? ?
? ?
(d)
V
1 2a
O, b
C RT
? ?
?
? ?
? ?
15. Match the following
(1) 2a / Rb (A) T
i
(2) a / Rb (B) T
B
(3) 8a / 27 Rb (C) T
C
1 2 3
(a) B C A
(b) A B C
(c) C B A
(d) A C B
16. dU for Isothermal Process for V ander walls gas and Ideal gas respectively
(a)
2
2 1
1 1
n a ,O(zero)
V V
? ?
? ?
? ?
? ?
(b) O(Zero), O(Zero)
(c)
2
2 1
1 1
n a ,O Zero
V V
? ?
?
? ?
? ?
(d)
2
1 2
1 1
n a ,T
V V
? ?
?
? ?
? ?
17. For an irreversible isothermal expansion of a perfect gas from V
i
to V
f
, the change in entropy of the gas is
(a) NR ln(V
f
/ V
i
) (b) Zero (c) less than zero (d) greater than zero
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
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3
18. Match the following:
P .
V
U
S
? ? ?
? ?
?
? ?
1. A
Q.
S
U
V
? ? ?
? ?
?
? ?
2. S
R.
T
G
P
? ? ?
? ?
?
? ?
3. P
S.
P
G
T
? ? ?
? ?
?
? ?
4. P
5. H
6. V
(a) P – 3, Q – 4, R – 6, S – 2 (b) P – 3, Q – 1, R – 2, S – 5
(c) P – 1, Q – 3, R – 5, S – 2 (d) P – 4, Q – 3, R – 6, S – 5
19. Standard entropy of crystalline carbon monoxide (in KJ/mol) at 0
?
K is around.
(a) 0.03 (b) 2.50 (c) zero (d) 5.76
20. If a gas obeys the equation of state P(v – nB) = nRT the ratio
P V
P V ideal
(C C )
(C C )
?
?
is
(a) > 1 (b) < 1 (c) 1 (d) (1 – b)
21. Two moles of a monatomic perfect gas initially 4.0 bar and 47
?
C under goes reversible expansion in an
insulated container. The temperature at which the presser reduces to 3.0 bar is.
(a) 200 K (b) 285 K (c) 310 K (d) 320 K
22. Choose the correct criterion of spontaneity in terms of the proporties of the system alone.
(a) (dS)
U, V
> 0 (b) (dS)
T, P
> 0 (c) (dS)
H, P
< 0 (d) (dG)
T, V
< 0
23. A diabatic reversible expansion of a monatomic gas (M) and a diatomic gas (D) at an initial temperature i,
has been carried out independently from initial volume to final volume V
2
. The final temperature (T
M
for
monatomic and T
D
for diatomic) attained will be
(a) T
M
= T
D
> T
i
(b) T
M
< T
D
< T
i
(c) T
M
> T
D
> T
i
(d) T
M
= T
D
= T
i
24. For the reaction
2Cl(g) ? Cl
2
(g)
The thermodynamic properties
(a) ?G, ?H and ?S are positive (b) ?G, ?H and ?S are negative
(c) ?G and ?H are negative and ?S is positive
(d) ?G is negative and ?H and ?S are positive
25. The change in entropy when one mole of an ideal gas is compressed to one fourth of its initial volume and
simultaneously heated to twice its initial temperature is
(a) (C
V
– R) ln4 (b) (C
V
– 2R) ln2 (c) (C
V
– 2R) ln4 (d) (C
V
+ 2R) ln2
Page 4

2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
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1
1. The heat capacity of 10 mol of an ideal gas at a certain temperature is 300 JK
–1
at constant pressure. The
heat capacity of the same gas at the same temperature and at constant volume would be
(a) 383 JK
–1
(b) 217 JK
–1
(c) 134 JK
–1
(d) 466 JK
–1
2. The internal pressure
T
( U / V) ? ? of a real gas is related to the compressibility factor Z pV / RT ? by [
V
is the molar volume]
(a)
T T
( U / V) RT( Z / V) ? ? ? ? ? (b)
T
( U / V) RT /(V Z) ? ? ?
(c)
2
T T
( U / V) (RT / V)( Z/ V) ? ? ? ? ? (d)
2
T V
( U / V) (V / RT )( Z / T) ? ? ? ? ?
3. What is limitation of first law of the thermodynamics
(a) Does not predict about the direction of flow of heat
(b) Does not tell whether the reaction is feasible or not
(c) a and b both
(d) None of these
4. Entropy is
(1) It is the degree of disorder of randomness in a system
(2) Entropy is a state function and mixing is always positive
(3) Entropy is a intensive property
(4) Entropy of solid is minimum and gases is maximum
(5) Entropy increase with temperature, and complexity and atomicity
Right statement is
(a) 1, 2, 3, 4 (b) 1, 2, 4, 5 (c) 2, 3, 4 (d) 1, 3, 5
5. For which of the following pairs choose the substances with the higher entropy per mole at a given
temperature
(i) O
2
gas at 5 atm or O
2
gas at 0.5 atm (ii) Br
2
(l) or Br
2
(g)
(a) O
2
gas at 5 atm (ii) Br
2
(l) (b) O
2
gas at 0.5 atm (ii) Br
2
(l)
(c) O
2
gas at 5 atm (ii) Br
2
gas (d) O
2
gas at 0.5 atm (iii) Br
2
gas
6. For which of the following process will ?Sº system be the most positive
(a) 2SO
2
(g) + O
2
(g) ? 2SO
3
(g) (b) 2NH
3
(g) ? N
2
(g) + 3H
2
(g)
(c) Hg(l) ? Hg(s) (d) 4Fe(s) + 3O
2
(g) ? 2Fe
2
O
3
(s)
7. The molar heat of vaporization for ethanol is 37.4 KJ/mole if the boiling point of ethanol is 78.0ºC calcu-
late ?S in J/K for the vaporization of 0.500 mole ethanol.
(a) 53.3 (b) 107 (c) 0.053 (d) 240
Daily Assignment Physical Chemistry IIT-JAM – 2015

THERMODYNAMICS - 2
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 09555785548, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com
2
8. For the gaseous substance
v
P
T
? ? ?
? ?
?
? ?
= ?
(a) / ? ? (b) / ? ? ? (c) / ? ? (d) / ? ? ?
9. For a gaseous substances C
p
– Cv =
(a)
v p
P V
V
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(b)
v p
P V
T
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(c)
v p
T V
T
P T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(d)
v p
T T
T
P V
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
10. Among the following the system require higher amount of thermal energy to giving the temperature 80ºC
(a) 200 gm at 40ºC (b) 100 gm at 20ºC (c) 150 gm at 50ºC (d) 300 gm at 30ºC
11. What is the internal pressure for 4 mole of V andar walls gas.
(a) zero (b)
2
a
V
(c)
2
4a
V
(d)
2
16a
V
12. Which relation is correct in this equation
(1) P
– 1
V
– ?
(2) T
– 1
V
1 – ?
(3) P
1 – ?
T
– ?
(a) 1, 2, 3 (b) 1, 2 (c) 1, 3 (d) 2, 3
13. Which statement is correct
(1) P
iso
> P
(2) V
iso
> V
(3) q
rev
< q
irren
(4) w
iso
> w
(a) 1, 2, 4 (b) 1, 2, 3, 4 (c) 2, 3 (d) 1, 4, 3
14. µ
JT
for ideal and V ander walls gases respectively
(a) 0, 0 (b)
P
1 2a
O, b
C RT
? ?
?
? ?
? ?
(c)
P
1 2a
P, b
C RT
? ?
?
? ?
? ?
(d)
V
1 2a
O, b
C RT
? ?
?
? ?
? ?
15. Match the following
(1) 2a / Rb (A) T
i
(2) a / Rb (B) T
B
(3) 8a / 27 Rb (C) T
C
1 2 3
(a) B C A
(b) A B C
(c) C B A
(d) A C B
16. dU for Isothermal Process for V ander walls gas and Ideal gas respectively
(a)
2
2 1
1 1
n a ,O(zero)
V V
? ?
? ?
? ?
? ?
(b) O(Zero), O(Zero)
(c)
2
2 1
1 1
n a ,O Zero
V V
? ?
?
? ?
? ?
(d)
2
1 2
1 1
n a ,T
V V
? ?
?
? ?
? ?
17. For an irreversible isothermal expansion of a perfect gas from V
i
to V
f
, the change in entropy of the gas is
(a) NR ln(V
f
/ V
i
) (b) Zero (c) less than zero (d) greater than zero
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3
18. Match the following:
P .
V
U
S
? ? ?
? ?
?
? ?
1. A
Q.
S
U
V
? ? ?
? ?
?
? ?
2. S
R.
T
G
P
? ? ?
? ?
?
? ?
3. P
S.
P
G
T
? ? ?
? ?
?
? ?
4. P
5. H
6. V
(a) P – 3, Q – 4, R – 6, S – 2 (b) P – 3, Q – 1, R – 2, S – 5
(c) P – 1, Q – 3, R – 5, S – 2 (d) P – 4, Q – 3, R – 6, S – 5
19. Standard entropy of crystalline carbon monoxide (in KJ/mol) at 0
?
K is around.
(a) 0.03 (b) 2.50 (c) zero (d) 5.76
20. If a gas obeys the equation of state P(v – nB) = nRT the ratio
P V
P V ideal
(C C )
(C C )
?
?
is
(a) > 1 (b) < 1 (c) 1 (d) (1 – b)
21. Two moles of a monatomic perfect gas initially 4.0 bar and 47
?
C under goes reversible expansion in an
insulated container. The temperature at which the presser reduces to 3.0 bar is.
(a) 200 K (b) 285 K (c) 310 K (d) 320 K
22. Choose the correct criterion of spontaneity in terms of the proporties of the system alone.
(a) (dS)
U, V
> 0 (b) (dS)
T, P
> 0 (c) (dS)
H, P
< 0 (d) (dG)
T, V
< 0
23. A diabatic reversible expansion of a monatomic gas (M) and a diatomic gas (D) at an initial temperature i,
has been carried out independently from initial volume to final volume V
2
. The final temperature (T
M
for
monatomic and T
D
for diatomic) attained will be
(a) T
M
= T
D
> T
i
(b) T
M
< T
D
< T
i
(c) T
M
> T
D
> T
i
(d) T
M
= T
D
= T
i
24. For the reaction
2Cl(g) ? Cl
2
(g)
The thermodynamic properties
(a) ?G, ?H and ?S are positive (b) ?G, ?H and ?S are negative
(c) ?G and ?H are negative and ?S is positive
(d) ?G is negative and ?H and ?S are positive
25. The change in entropy when one mole of an ideal gas is compressed to one fourth of its initial volume and
simultaneously heated to twice its initial temperature is
(a) (C
V
– R) ln4 (b) (C
V
– 2R) ln2 (c) (C
V
– 2R) ln4 (d) (C
V
+ 2R) ln2
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26. The internal pressure, T
V
P
T P
T
? ? ?
? ? ?
? ?
?
? ?
for one mole a vanderwalls gas is
(a)
2
a
V
(b)
2
a RT
V V b
? ?
? ?
?
? ?
(c) Zero (d)
RT
V b ?
27. Consider the following P-V diagram for an ideal gas that follows the diagonal path from A to B
B D
A C
0.5(L) 10(L)
1
20
(T = 300 K)
(T = 300 K)
V olume(L)
Pressure (atm)
The work done (in atm-L) on the gas in the process is
(a) 9.5 (b) 99.75 (c) 190 (d) 10 ln 20
28. One mole of an ideal gas (C
P
= 29.234 JK
–1
mol
–1
) is expanded reversibly and adiabatically from 1 dm
3
to 10 dm
3
. The initial temperature is 750 K, the final temperature will be
(a) 1000 K (b) 750 K (c) 300 K (d) 100 K
29. The relationship between volume change in an isothermal process ( ?V
i
) and an adiabatic process. ( ?V
a
)
for a pressure change from P
1
to P
2
is
(a) ?V
i
> ?V
a
(b) ?V
i
< ?V
a
(c) ?V
i
= ?V
a
(d) ?V
i
= ?V
a
= 0
30. Using Joule – Thomson effect, find the current expression for ?T:
(a)
T
P
( H / P)
T ( P)
C
? ?
? ? ? ?
(b)
P
P
( H / T)
T ( P)
C
? ?
? ? ? ?
(c)
T
V
( U / V)
T ( P)
C
? ?
? ? ? ?
(d)
V
V
( U / T)
T ( P)
C
? ?
? ? ? ?
31. An adiabatic process is an
(a) isobaric process (b) isochoric process (c) isenthalpic process (d) isentropic process
32. For one mole of an ideal gas,
T
S
V
? ? ?
? ?
?
? ?
is equal to
(a) P/T (a) T/P (c) PT (d) P/V
33. Which one of the following relations is correct
(a)
S V
T P
V S
? ? ? ? ? ?
?
? ? ? ?
? ?
? ? ? ?
(b)
S P
T V
P S
? ? ? ? ? ?
? ?
? ? ? ?
? ?
? ? ? ?
(c)
V T
P S
T V
? ? ? ? ? ?
?
? ? ? ?
? ?
? ? ? ?
(d)
T P
S V
P T
? ? ? ? ? ?
?
? ? ? ?
? ?
? ? ? ?
Page 5

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1
1. The heat capacity of 10 mol of an ideal gas at a certain temperature is 300 JK
–1
at constant pressure. The
heat capacity of the same gas at the same temperature and at constant volume would be
(a) 383 JK
–1
(b) 217 JK
–1
(c) 134 JK
–1
(d) 466 JK
–1
2. The internal pressure
T
( U / V) ? ? of a real gas is related to the compressibility factor Z pV / RT ? by [
V
is the molar volume]
(a)
T T
( U / V) RT( Z / V) ? ? ? ? ? (b)
T
( U / V) RT /(V Z) ? ? ?
(c)
2
T T
( U / V) (RT / V)( Z/ V) ? ? ? ? ? (d)
2
T V
( U / V) (V / RT )( Z / T) ? ? ? ? ?
3. What is limitation of first law of the thermodynamics
(a) Does not predict about the direction of flow of heat
(b) Does not tell whether the reaction is feasible or not
(c) a and b both
(d) None of these
4. Entropy is
(1) It is the degree of disorder of randomness in a system
(2) Entropy is a state function and mixing is always positive
(3) Entropy is a intensive property
(4) Entropy of solid is minimum and gases is maximum
(5) Entropy increase with temperature, and complexity and atomicity
Right statement is
(a) 1, 2, 3, 4 (b) 1, 2, 4, 5 (c) 2, 3, 4 (d) 1, 3, 5
5. For which of the following pairs choose the substances with the higher entropy per mole at a given
temperature
(i) O
2
gas at 5 atm or O
2
gas at 0.5 atm (ii) Br
2
(l) or Br
2
(g)
(a) O
2
gas at 5 atm (ii) Br
2
(l) (b) O
2
gas at 0.5 atm (ii) Br
2
(l)
(c) O
2
gas at 5 atm (ii) Br
2
gas (d) O
2
gas at 0.5 atm (iii) Br
2
gas
6. For which of the following process will ?Sº system be the most positive
(a) 2SO
2
(g) + O
2
(g) ? 2SO
3
(g) (b) 2NH
3
(g) ? N
2
(g) + 3H
2
(g)
(c) Hg(l) ? Hg(s) (d) 4Fe(s) + 3O
2
(g) ? 2Fe
2
O
3
(s)
7. The molar heat of vaporization for ethanol is 37.4 KJ/mole if the boiling point of ethanol is 78.0ºC calcu-
late ?S in J/K for the vaporization of 0.500 mole ethanol.
(a) 53.3 (b) 107 (c) 0.053 (d) 240
Daily Assignment Physical Chemistry IIT-JAM – 2015

THERMODYNAMICS - 2
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2
8. For the gaseous substance
v
P
T
? ? ?
? ?
?
? ?
= ?
(a) / ? ? (b) / ? ? ? (c) / ? ? (d) / ? ? ?
9. For a gaseous substances C
p
– Cv =
(a)
v p
P V
V
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(b)
v p
P V
T
T T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(c)
v p
T V
T
P T
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
(d)
v p
T T
T
P V
? ? ? ? ? ?
? ? ? ?
? ?
? ? ? ?
10. Among the following the system require higher amount of thermal energy to giving the temperature 80ºC
(a) 200 gm at 40ºC (b) 100 gm at 20ºC (c) 150 gm at 50ºC (d) 300 gm at 30ºC
11. What is the internal pressure for 4 mole of V andar walls gas.
(a) zero (b)
2
a
V
(c)
2
4a
V
(d)
2
16a
V
12. Which relation is correct in this equation
(1) P
– 1
V
– ?
(2) T
– 1
V
1 – ?
(3) P
1 – ?
T
– ?
(a) 1, 2, 3 (b) 1, 2 (c) 1, 3 (d) 2, 3
13. Which statement is correct
(1) P
iso
> P
(2) V
iso
> V
(3) q
rev
< q
irren
(4) w
iso
> w
(a) 1, 2, 4 (b) 1, 2, 3, 4 (c) 2, 3 (d) 1, 4, 3
14. µ
JT
for ideal and V ander walls gases respectively
(a) 0, 0 (b)
P
1 2a
O, b
C RT
? ?
?
? ?
? ?
(c)
P
1 2a
P, b
C RT
? ?
?
? ?
? ?
(d)
V
1 2a
O, b
C RT
? ?
?
? ?
? ?
15. Match the following
(1) 2a / Rb (A) T
i
(2) a / Rb (B) T
B
(3) 8a / 27 Rb (C) T
C
1 2 3
(a) B C A
(b) A B C
(c) C B A
(d) A C B
16. dU for Isothermal Process for V ander walls gas and Ideal gas respectively
(a)
2
2 1
1 1
n a ,O(zero)
V V
? ?
? ?
? ?
? ?
(b) O(Zero), O(Zero)
(c)
2
2 1
1 1
n a ,O Zero
V V
? ?
?
? ?
? ?
(d)
2
1 2
1 1
n a ,T
V V
? ?
?
? ?
? ?
17. For an irreversible isothermal expansion of a perfect gas from V
i
to V
f
, the change in entropy of the gas is
(a) NR ln(V
f
/ V
i
) (b) Zero (c) less than zero (d) greater than zero
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3
18. Match the following:
P .
V
U
S
? ? ?
? ?
?
? ?
1. A
Q.
S
U
V
? ? ?
? ?
?
? ?
2. S
R.
T
G
P
? ? ?
? ?
?
? ?
3. P
S.
P
G
T
? ? ?
? ?
?
? ?
4. P
5. H
6. V
(a) P – 3, Q – 4, R – 6, S – 2 (b) P – 3, Q – 1, R – 2, S – 5
(c) P – 1, Q – 3, R – 5, S – 2 (d) P – 4, Q – 3, R – 6, S – 5
19. Standard entropy of crystalline carbon monoxide (in KJ/mol) at 0
?
K is around.
(a) 0.03 (b) 2.50 (c) zero (d) 5.76
20. If a gas obeys the equation of state P(v – nB) = nRT the ratio
P V
P V ideal
(C C )
(C C )
?
?
is
(a) > 1 (b) < 1 (c) 1 (d) (1 – b)
21. Two moles of a monatomic perfect gas initially 4.0 bar and 47
?
C under goes reversible expansion in an
insulated container. The temperature at which the presser reduces to 3.0 bar is.
(a) 200 K (b) 285 K (c) 310 K (d) 320 K
22. Choose the correct criterion of spontaneity in terms of the proporties of the system alone.
(a) (dS)
U, V
> 0 (b) (dS)
T, P
> 0 (c) (dS)
H, P
< 0 (d) (dG)
T, V
< 0
23. A diabatic reversible expansion of a monatomic gas (M) and a diatomic gas (D) at an initial temperature i,
has been carried out independently from initial volume to final volume V
2
. The final temperature (T
M
for
monatomic and T
D
for diatomic) attained will be
(a) T
M
= T
D
> T
i
(b) T
M
< T
D
< T
i
(c) T
M
> T
D
> T
i
(d) T
M
= T
D
= T
i
24. For the reaction
2Cl(g) ? Cl
2
(g)
The thermodynamic properties
(a) ?G, ?H and ?S are positive (b) ?G, ?H and ?S are negative
(c) ?G and ?H are negative and ?S is positive
(d) ?G is negative and ?H and ?S are positive
25. The change in entropy when one mole of an ideal gas is compressed to one fourth of its initial volume and
simultaneously heated to twice its initial temperature is
(a) (C
V
– R) ln4 (b) (C
V
– 2R) ln2 (c) (C
V
– 2R) ln4 (d) (C
V
+ 2R) ln2
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4
26. The internal pressure, T
V
P
T P
T
? ? ?
? ? ?
? ?
?
? ?
for one mole a vanderwalls gas is
(a)
2
a
V
(b)
2
a RT
V V b
? ?
? ?
?
? ?
(c) Zero (d)
RT
V b ?
27. Consider the following P-V diagram for an ideal gas that follows the diagonal path from A to B
B D
A C
0.5(L) 10(L)
1
20
(T = 300 K)
(T = 300 K)
V olume(L)
Pressure (atm)
The work done (in atm-L) on the gas in the process is
(a) 9.5 (b) 99.75 (c) 190 (d) 10 ln 20
28. One mole of an ideal gas (C
P
= 29.234 JK
–1
mol
–1
) is expanded reversibly and adiabatically from 1 dm
3
to 10 dm
3
. The initial temperature is 750 K, the final temperature will be
(a) 1000 K (b) 750 K (c) 300 K (d) 100 K
29. The relationship between volume change in an isothermal process ( ?V
i
) and an adiabatic process. ( ?V
a
)
for a pressure change from P
1
to P
2
is
(a) ?V
i
> ?V
a
(b) ?V
i
< ?V
a
(c) ?V
i
= ?V
a
(d) ?V
i
= ?V
a
= 0
30. Using Joule – Thomson effect, find the current expression for ?T:
(a)
T
P
( H / P)
T ( P)
C
? ?
? ? ? ?
(b)
P
P
( H / T)
T ( P)
C
? ?
? ? ? ?
(c)
T
V
( U / V)
T ( P)
C
? ?
? ? ? ?
(d)
V
V
( U / T)
T ( P)
C
? ?
? ? ? ?
31. An adiabatic process is an
(a) isobaric process (b) isochoric process (c) isenthalpic process (d) isentropic process
32. For one mole of an ideal gas,
T
S
V
? ? ?
? ?
?
? ?
is equal to
(a) P/T (a) T/P (c) PT (d) P/V
33. Which one of the following relations is correct
(a)
S V
T P
V S
? ? ? ? ? ?
?
? ? ? ?
? ?
? ? ? ?
(b)
S P
T V
P S
? ? ? ? ? ?
? ?
? ? ? ?
? ?
? ? ? ?
(c)
V T
P S
T V
? ? ? ? ? ?
?
? ? ? ?
? ?
? ? ? ?
(d)
T P
S V
P T
? ? ? ? ? ?
?
? ? ? ?
? ?
? ? ? ?
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5
34. The change in enthalpy with respect to change in pressure at constant temperature
T
H
P
? ? ?
? ?
?
? ?
is
(a)
P
V
T V
T
? ? ?
? ?
? ?
?
? ?
(b)
P
V
T V
T
? ? ?
?
? ?
?
? ?
(c)
P
V
T V
T
? ? ?
? ?
? ?
?
? ?
(d)
P
V
T V
T
? ? ?
?
? ?
?
? ?
35. Find the value of
P
T
C
P
? ? ?
? ?
?
? ?
(a)
2
2
P
V
T
T
? ? ?
? ?
?
? ?
(b)
2
3
P
V
T
T
? ? ?
?
? ?
?
? ?
(c)
2
2
T
P
T
V
? ? ?
? ?
?
? ?
(d)
2
2
V
P
T
T
? ? ?
? ?
?
? ?
36. If a gas obey ideal gas behavior then find the value of TE ?
2
V
i.e. TE ?
2
V = ?
Hind
stress
elasticity
strain
?
(a) –R (b) R (c) P (d) –P
37. The change in entropy when three moles of argon gas are heated at constant volume from 200 K to 300
K is
(a) 15.16 JK
–1
mol
–1
(b) –15.16 JK
–1
mol
–1
(c) –5.05 JK
–1
mol
–1
(d) 5.05 JK
–
mol
–1
38. For a system of constant composition, the pressure P is given by
(a)
V
U
S
? ? ?
?
? ?
?
? ?
(b)
S
U
V
? ? ?
?
? ?
?
? ?
(c)
T
V
S
? ? ?
?
? ?
?
? ?
(d)
T
U
V
? ? ?
? ?
?
? ?
39. Calculate the coefficient of performance ( ?) of an engine operating between 110ºC and 25ºC. (The
efficiency of carwat engine is 22.2%)
(a) 3.5 (b) 0.222 (c) 0.778 (d) 0.1556
40. ?H and ?U for the reaction
Fe
2
O
3
(s) + 3H
2
(g) ? 2Fe(s) + 3H
2
O(l)
at constant temperature are related as
(a) ?H = ?U (b) ?H = ?U + RT (c) ?H = ?U + 3RT (d) ?H = ?E – 3RT
```
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