States of Matter Practice Questions - DPP for JEE

 Page 1


PART-I (Single Correct MCQs)
1. The volume-temperature graphs of a given mass of an ideal gas at
constant pressure are shown below.
What is the correct order of pressures ?
(a) p
1
 > p
3
 > p
2
(b) p
1
 > p
2
 > p
3
(c) p
2
 > p
3
 > p
1
(d) p
2
 > p
1
 > p
3
2. The inversion temperature T
i
(K) of hydrogen is (given van der Waal’s
constants a and b are 0.244 atm L
2
 mol
–2
 and 0.027 L mol
–1
Page 2


PART-I (Single Correct MCQs)
1. The volume-temperature graphs of a given mass of an ideal gas at
constant pressure are shown below.
What is the correct order of pressures ?
(a) p
1
 > p
3
 > p
2
(b) p
1
 > p
2
 > p
3
(c) p
2
 > p
3
 > p
1
(d) p
2
 > p
1
 > p
3
2. The inversion temperature T
i
(K) of hydrogen is (given van der Waal’s
constants a and b are 0.244 atm L
2
 mol
–2
 and 0.027 L mol
–1
respectively)
(a) 440
(b) 220
(c) 110
(d) 330
3. The temperature of the gas is raised from 27°C to 927°C, the root mean
square velocity is
(a) time the earlier value
(b) same as before
(c) halved
(d) doubled
4. Equal masses of methane and oxygen are mixed in an empty container
at 25°C. The fraction of the total pressure exerted by oxygen is
(a) 1/2
(b) 2/3
(c)
(d) 1/3.
5. The ratio between the root mean square speed of H
2
 at 50 K and that of
O
2
 at 800 K is,
(a) 4
(b) 2
(c) 1
(d) 1/4
6. Calculate the total pressure in a 10.0 L cylinder which contains 0.4g
helium, 1.6 g oxygen and 1.4 g nitrogen at 27°C.
(a) 0.492 atm
(b) 49.2 atm
(c) 4.92 atm
(d) 0.0492 atm
Page 3


PART-I (Single Correct MCQs)
1. The volume-temperature graphs of a given mass of an ideal gas at
constant pressure are shown below.
What is the correct order of pressures ?
(a) p
1
 > p
3
 > p
2
(b) p
1
 > p
2
 > p
3
(c) p
2
 > p
3
 > p
1
(d) p
2
 > p
1
 > p
3
2. The inversion temperature T
i
(K) of hydrogen is (given van der Waal’s
constants a and b are 0.244 atm L
2
 mol
–2
 and 0.027 L mol
–1
respectively)
(a) 440
(b) 220
(c) 110
(d) 330
3. The temperature of the gas is raised from 27°C to 927°C, the root mean
square velocity is
(a) time the earlier value
(b) same as before
(c) halved
(d) doubled
4. Equal masses of methane and oxygen are mixed in an empty container
at 25°C. The fraction of the total pressure exerted by oxygen is
(a) 1/2
(b) 2/3
(c)
(d) 1/3.
5. The ratio between the root mean square speed of H
2
 at 50 K and that of
O
2
 at 800 K is,
(a) 4
(b) 2
(c) 1
(d) 1/4
6. Calculate the total pressure in a 10.0 L cylinder which contains 0.4g
helium, 1.6 g oxygen and 1.4 g nitrogen at 27°C.
(a) 0.492 atm
(b) 49.2 atm
(c) 4.92 atm
(d) 0.0492 atm
7. A bottle of dry ammonia and a bottle of dry hydrogen chloride
connected through a long tube are opened simultaneously at both ends
the white ammonium chloride ring first formed will be
(a) at the centre of the tube.
(b) near the hydrogen chloride bottle.
(c) near the ammonia bottle.
(d) throughout the length of the tube.
8. A mixture of two gases A and B in the mole ratio 2 : 3 is kept in a 2
litre vessel. A second 3L vessel has the same two gases in the mole
ratio 3 : 5. Both gas mixtures have the same temperature and same total
pressure. They are allowed to intermix and the final temperature and the
total pressure are the same as the initial values, the final volume being 5
litres. Given that the molar masses are M
A
 and M
B
. What is the mean
molar mass of the final mixture?
(a)
(b)
(c)
(d)
9. As the temperature is raised from 20ºC to 40ºC, the average kinetic
energy of neon atoms changes by a factor of which of the following ?
(a) 313 / 293
(b)
(c) 1 / 2
(d) 2
10. Equal masses of H
2
,O
2
 and methane have been taken in a container of
volume V at temperature 27°C in identical conditions. The ratio of the
volumes of gases H
2
 : O
2
 : methane would be :
(a) 8 : 16 : 1
Page 4


PART-I (Single Correct MCQs)
1. The volume-temperature graphs of a given mass of an ideal gas at
constant pressure are shown below.
What is the correct order of pressures ?
(a) p
1
 > p
3
 > p
2
(b) p
1
 > p
2
 > p
3
(c) p
2
 > p
3
 > p
1
(d) p
2
 > p
1
 > p
3
2. The inversion temperature T
i
(K) of hydrogen is (given van der Waal’s
constants a and b are 0.244 atm L
2
 mol
–2
 and 0.027 L mol
–1
respectively)
(a) 440
(b) 220
(c) 110
(d) 330
3. The temperature of the gas is raised from 27°C to 927°C, the root mean
square velocity is
(a) time the earlier value
(b) same as before
(c) halved
(d) doubled
4. Equal masses of methane and oxygen are mixed in an empty container
at 25°C. The fraction of the total pressure exerted by oxygen is
(a) 1/2
(b) 2/3
(c)
(d) 1/3.
5. The ratio between the root mean square speed of H
2
 at 50 K and that of
O
2
 at 800 K is,
(a) 4
(b) 2
(c) 1
(d) 1/4
6. Calculate the total pressure in a 10.0 L cylinder which contains 0.4g
helium, 1.6 g oxygen and 1.4 g nitrogen at 27°C.
(a) 0.492 atm
(b) 49.2 atm
(c) 4.92 atm
(d) 0.0492 atm
7. A bottle of dry ammonia and a bottle of dry hydrogen chloride
connected through a long tube are opened simultaneously at both ends
the white ammonium chloride ring first formed will be
(a) at the centre of the tube.
(b) near the hydrogen chloride bottle.
(c) near the ammonia bottle.
(d) throughout the length of the tube.
8. A mixture of two gases A and B in the mole ratio 2 : 3 is kept in a 2
litre vessel. A second 3L vessel has the same two gases in the mole
ratio 3 : 5. Both gas mixtures have the same temperature and same total
pressure. They are allowed to intermix and the final temperature and the
total pressure are the same as the initial values, the final volume being 5
litres. Given that the molar masses are M
A
 and M
B
. What is the mean
molar mass of the final mixture?
(a)
(b)
(c)
(d)
9. As the temperature is raised from 20ºC to 40ºC, the average kinetic
energy of neon atoms changes by a factor of which of the following ?
(a) 313 / 293
(b)
(c) 1 / 2
(d) 2
10. Equal masses of H
2
,O
2
 and methane have been taken in a container of
volume V at temperature 27°C in identical conditions. The ratio of the
volumes of gases H
2
 : O
2
 : methane would be :
(a) 8 : 16 : 1
(b) 16 : 8 : 1
(c) 16 : 1 : 2
(d) 8 : 1 : 2
11. Equal moles of hydrogen and oxygen gases are placed in a container
with a pin-hole through which both can escape. What fraction of the
oxygen escapes in the time required for one-half of the hydrogen to
escape ?
(a) 1/8
(b) 1/4
(c) 3/8
(d) 1/2
12. Which one of the following statements is NOT true about the effect of
an increase in temperature on the distribution of molecular speeds in a
gas?
(a) The area under the distribution curve remains the same as under the
lower temperature.
(b) The distribution becomes broader.
(c) The fraction of the molecules with the most probable speed increases.
(d) The most probable speed increases.
13. For 1 mol of an ideal gas at a constant temperature T, the plot of (log P)
against (log V) is a (P : Pressure, V : Volume)
(a) Straight line parallel to x-axis.
(b) Straight line with a negative slope.
(c) Curve starting at origin.
(d) Straight line passing through origin.
14. When CO
2
(g) is passed over red hot coke it partially gets reduced to
CO(g). Upon passing 0.5 L of  CO
2
(g) over red hot coke, the total
volume of the gases increased to 700 mL.
The composition of the gaseous mixture at STP is
Page 5


PART-I (Single Correct MCQs)
1. The volume-temperature graphs of a given mass of an ideal gas at
constant pressure are shown below.
What is the correct order of pressures ?
(a) p
1
 > p
3
 > p
2
(b) p
1
 > p
2
 > p
3
(c) p
2
 > p
3
 > p
1
(d) p
2
 > p
1
 > p
3
2. The inversion temperature T
i
(K) of hydrogen is (given van der Waal’s
constants a and b are 0.244 atm L
2
 mol
–2
 and 0.027 L mol
–1
respectively)
(a) 440
(b) 220
(c) 110
(d) 330
3. The temperature of the gas is raised from 27°C to 927°C, the root mean
square velocity is
(a) time the earlier value
(b) same as before
(c) halved
(d) doubled
4. Equal masses of methane and oxygen are mixed in an empty container
at 25°C. The fraction of the total pressure exerted by oxygen is
(a) 1/2
(b) 2/3
(c)
(d) 1/3.
5. The ratio between the root mean square speed of H
2
 at 50 K and that of
O
2
 at 800 K is,
(a) 4
(b) 2
(c) 1
(d) 1/4
6. Calculate the total pressure in a 10.0 L cylinder which contains 0.4g
helium, 1.6 g oxygen and 1.4 g nitrogen at 27°C.
(a) 0.492 atm
(b) 49.2 atm
(c) 4.92 atm
(d) 0.0492 atm
7. A bottle of dry ammonia and a bottle of dry hydrogen chloride
connected through a long tube are opened simultaneously at both ends
the white ammonium chloride ring first formed will be
(a) at the centre of the tube.
(b) near the hydrogen chloride bottle.
(c) near the ammonia bottle.
(d) throughout the length of the tube.
8. A mixture of two gases A and B in the mole ratio 2 : 3 is kept in a 2
litre vessel. A second 3L vessel has the same two gases in the mole
ratio 3 : 5. Both gas mixtures have the same temperature and same total
pressure. They are allowed to intermix and the final temperature and the
total pressure are the same as the initial values, the final volume being 5
litres. Given that the molar masses are M
A
 and M
B
. What is the mean
molar mass of the final mixture?
(a)
(b)
(c)
(d)
9. As the temperature is raised from 20ºC to 40ºC, the average kinetic
energy of neon atoms changes by a factor of which of the following ?
(a) 313 / 293
(b)
(c) 1 / 2
(d) 2
10. Equal masses of H
2
,O
2
 and methane have been taken in a container of
volume V at temperature 27°C in identical conditions. The ratio of the
volumes of gases H
2
 : O
2
 : methane would be :
(a) 8 : 16 : 1
(b) 16 : 8 : 1
(c) 16 : 1 : 2
(d) 8 : 1 : 2
11. Equal moles of hydrogen and oxygen gases are placed in a container
with a pin-hole through which both can escape. What fraction of the
oxygen escapes in the time required for one-half of the hydrogen to
escape ?
(a) 1/8
(b) 1/4
(c) 3/8
(d) 1/2
12. Which one of the following statements is NOT true about the effect of
an increase in temperature on the distribution of molecular speeds in a
gas?
(a) The area under the distribution curve remains the same as under the
lower temperature.
(b) The distribution becomes broader.
(c) The fraction of the molecules with the most probable speed increases.
(d) The most probable speed increases.
13. For 1 mol of an ideal gas at a constant temperature T, the plot of (log P)
against (log V) is a (P : Pressure, V : Volume)
(a) Straight line parallel to x-axis.
(b) Straight line with a negative slope.
(c) Curve starting at origin.
(d) Straight line passing through origin.
14. When CO
2
(g) is passed over red hot coke it partially gets reduced to
CO(g). Upon passing 0.5 L of  CO
2
(g) over red hot coke, the total
volume of the gases increased to 700 mL.
The composition of the gaseous mixture at STP is
(a) CO
2
 = 300 mL; CO = 400 mL
(b) CO
2
 = 0.0 mL; CO = 700 mL
(c) CO
2
 = 200 mL; CO = 500 mL
(d) CO
2
 = 350 mL; CO = 350 mL
15. For gaseous state, if most probable speed is denoted by C*, average
speed by  and mean square speed by C, then for a large number of
molecules the ratios of these speeds are :
(a) C* :  : C = 1.225 : 1.128 : 1
(b) C* :  : C = 1.128 : 1.225 : 1
(c) C* :  : C = 1 : 1.128 : 1.225
(d) C* :  : C = 1 : 1.225 : 1.128
16. Sulphur dioxide and oxygen were allowed to diffuse through a porous
partition. 20 dm
3
 of SO
2
 diffuses through the porous partition in 60
seconds. The volume of O
2
 in dm
3
 which diffuses under the similar
condition in 30 seconds will be (atomic mass of sulphur = 32 u):
(a) 7.09
(b) 14.1
(c) 10.0
(d) 28.2
17. If Z is a compressibility factor, van der Waals equation at low pressure
can be written as:
(a)
(b)
(c)