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All questions of Thermodynamics for JEE Exam

Consider the following properties. 
Select intensive and extensive properties.
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
Correct answer is option 'C'. Can you explain this answer?

Preeti Khanna answered
Intensive means that the property is mass independent. We can see that Boiling point, pH, EMF of cell and surface tension are intensive pont . 
While Extensive property  depends on mass and in given options Volume and entropy are mass dependents.

One mole each of CaC2, AI4C3 and Mg2C3 reacts with H2O in separate open flasks at 25° C. Numerical value of the work done by the system is in order
  • a)
    CaC2 < AI4C3 = Mg2C3
  • b)
    CaC2 < AI4C3 < Mg2C3
  • c)
    CaC2 = Mg2C3 < AI4C3
  • d)
    CaC2 = Mg2C3 = AI4C3
Correct answer is option 'C'. Can you explain this answer?

Ciel Knowledge answered
i) CaC2 + 2H2O  →  C2H2(g) + Ca(OH)2
ii) Mg2C3 + 4H2O → CH3-C≡CH(g) + 2Mg(OH)2
iii) Al4C3 + 12H2O → 3CH4(g) + 4Al(OH)3
Work done = -∆ngRT 
Or W ∝ ∆ng
Wecan see that in case iii) we have maximum no of moles in the product side(∆ng = 3). So work done will be maximum in case iii). After that in i) and ii), we have the same number of moles on the product side(∆ng = 1), so work done will be the same.
Therefore, option c is correct.

Heat of hydrogenation of ethene is x1 and that of benzene is x2. The resonance energy of benzene is
  • a)
    x1 — x2
  • b)
    x1 + x2
  • c)
    3x1 — x2
  • d)
    x1 - 3x2
Correct answer is option 'C'. Can you explain this answer?

Anaya Patel answered
Energy of ethene =x1
Number of ethene in benzene=3.
Therefore, Observed energy of hydrogenation of benzene =3x1
Calculated energy of hydrogenation of benzene =x2 (Given)
Therefore, 
Resonance energy = observed - calculated =3x1−x2

In which of the following cases, entropy of I is larger than that of II?
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
Correct answer is option 'D'. Can you explain this answer?

a) More molar mass, more entropy. So ∆SN2O4 > ∆SNO2
b) CO2 has more entropy than dry ice at -78°C
c) Pure alumina iss crystalline solid while ruby is amorphous. And ∆Samorphous > ∆SCrystalline. So alumina has less entropy than ruby.
d) At lower pressure, entropy be higher as gas particles are far from each other. So (∆SN2)1 bar > (∆SN2)5 bar 
 

A gas absorbs 200 J of heat and expands by 500 cm3 against a constant pressure of 2 x 105 Nm-2. Change in internal energy is 
  • a)
    - 300 J
  • b)
    - 100 J
  • c)
    +100 J
  • d)
    +300 J
Correct answer is option 'C'. Can you explain this answer?

Neha Joshi answered
The expression for the change in internal energy is given by,
ΔU=q+w
q = heat absorbed = 200 J
w = work done = −P x V
=−2×10⁵ × 500×10−6
= −100 N - m
ΔU=200−100J= 100 J
Hence, the correct option is C.

From the following data, the heat of formation of Ca(OH)2(s) at 18°C is ………..kcal:
  • a)
    -98.69
  • b)
    -235.43
  • c)
    194.91
  • d)
     98.69
Correct answer is option 'B'. Can you explain this answer?

Knowledge Hub answered
The correct answer is Option B.
Ca(s) + O2(g) + H2(g) → Ca(OH)2 , ΔHf = ?
Desired equation = eq (iii) + eq(i) - eq (ii)
ΔHf = (−151.80)+(−15.26)−(−68.37)
ΔHf = (-151.80)+(-15.26)-(-68.37)
ΔHf = −235.43KCalmol−1

A cyclic proces ABCD is shown in PV diagram for an ideal gas.
Which of the following diagram represents the same process
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?

Raghav Bansal answered
In such type of graph conversions, the best way to work is to make a parameter constant and then derive the results between others.

Let us make pressure constant. Then we have, VB>VA  
Or
(nrTA/P)<(nrTB/P) or TA<TB
In terms of V-T curve, the thing happens as follow:-
 A to B (Volume increase from VA to VB. No change in pressure). B to C (temperature is constant), C to D (Volume remains constant) and D to A (Volume decreases but temperature remains constant. However the constant value is less than from B to C). On these all conditions, only graph d stands.

Among the following enthalpies, which is always less than zero?
  • a)
    Δc
  • b)
    Δsub
  • c)
    Δmix
  • d)
    Δf
Correct answer is option 'A'. Can you explain this answer?

Neha Joshi answered
The symbol represents enthalpy of combustion which is always exothermic. For exothermic rxn delta H is always -ve. 

Standard entropies of X2, Y2 and XY3 are given below the reaction
Q. At what temperature, reaction would be in equilibrium? 
  • a)
    500 K
  • b)
    750 K
  • c)
    1000 K
  • d)
    1250 K
Correct answer is option 'B'. Can you explain this answer?

Suresh Reddy answered
1/2X + 3/2Y2 ⟶XY3,
ΔH= −30 kJ
ΔSreaction = ∑ΔSproduct−∑ΔSreactant 
X+ 3Y→ 2XY3
​ΔH=−60 kJ
ΔSreaction = 2×50−3×40−1×60 =100−120−60=−80 JK−1mol−1
 ΔG=ΔH−TΔS=0
ΔH=TΔS
1000×(−60)=−80×T
T=750 K

Consider the following properties. 
State functions are :          [IITJEE2009]
  • a)
    I, II, III, IV, V
  • b)
    I, II, III, VI
  • c)
    I, II, IV, VI
  • d)
    I, II, III, IV
Correct answer is option `A`. Can you explain this answer?

Hansa Sharma answered
First 4 are fundamental examples of state functions as they are path independent. Since reversible expansion depends on the path followed by process, so it is a path function. However, irreversible expansion work is independent of the path and so, it is a state function.

NH3(g) + 3Cl2(g)  NCl3(g) + 3HCl(g) ; -ΔH1
N2(g) + 3H2(g)  2NH3(g) ; ΔH2
H2(g) + Cl2(g)  2HCl(g) ; ΔH3
The heat of formation of NCl3 (g) in the terms of ΔH1, ΔH2 and ΔH3 is
  • a)
  • b)
  • c)
  • d)
     None
Correct answer is option 'A'. Can you explain this answer?

Naina Sharma answered
The formation of NCl3 be like
½ N2 + 3/2Cl2 ⇋ NCl3
We can see that for this setup, we need to have eqn (ii) divided by 2, reversing eqn (iii) and multiplying it by 3/2 and then adding all these to equation (i).
So option a is correct.

Can you explain the answer of this question below:

8 g of O2 gas at STP is expanded so that volume is doubled. Thus, work done is

  • A:

    22.4 L atm

  • B:

    11.2 L atm

  • C:

    5.6 L atm

  • D:

    - 5.6 L atm

The answer is d.

Suresh Iyer answered
Let atomic weight of x = Mx
atomic weight of y = M
we know, 
mole = weight /atomic weight 
a/c to question, 
mole of xy2 = 0.1 
so, 
0.1 = 10g/( Mx +2My
Mx + 2My = 100g -------(1)
for x3y2 ; mole of x3y2 = 0.05 
0.05 = 9/( 3Mx + 2My
3Mx + 2My = 9/0.05 = 9 × 20 = 180 g ---(2) 
solve eqns (1) and (2)
2Mx = 80 
Mx = 40g/mol 
and My = 30g/mole

For an endothermic reaction when ΔH represents the enthalpy of the reaction in kJ mol-1, the minimum value for the energy of activation will be
[IIT JEE 1992]
  • a)
    less than ΔH
  • b)
    Zero
  • c)
    More than ΔH
  • d)
    Equal to ΔH
Correct answer is option 'C'. Can you explain this answer?

Hansa Sharma answered
,More than ΔH
In endothermic reactions, the energy of reactants is less than that of the products. Potential energy diagram for endothermic reactions is,

Where Ea = activation energy of forwarding reaction
Ea' = activation energy of backwards reaction
ΔH = enthalpy of the reaction

From the above diagram,
Ea = Ea' + ΔH
Thus, Ea > ΔH

For the following process, H2 (g) → 2 H(g), it absorbs 436 kJ mol-1. Thus,
  • a)
    internal energy of the system is 436 kJ mol-1
  • b)
    change in internal energy is 436 kJ mol-1
  • c)
    internal energy of the system is 218 kJ mol-1
  • d)
    change in internal energy of the system is 218 kJ mol-1
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
In this process, one molecule of hydrogen gas dissociated into two gaseous atoms i.e. the number of gaseous particles increase leading to  a more disordered state. 
.Breaking of bond requires energy
It is not mentioned that the process is isobaric. If we assume that process is isobaric because volume can not remain constant as number of gaseous particles are increased, then change in internal energy = 436 kJ mol-1. The data of absorption gives us the value of q.

8 g of O2 gas at STP is expanded so that volume is doubled. Thus, work done is
  • a)
    22.4 L atm
  • b)
    11.2 L atm
  • c)
    5.6 L atm
  • d)
    - 5.6 L atm
Correct answer is 'D'. Can you explain this answer?

Let atomic weight of x = Mx
atomic weight of y = M
we know, 
mole = weight /atomic weight 
a/c to question, 
mole of xy2 = 0.1 
so, 
0.1 = 10g/( Mx +2My
Mx + 2My = 100g -------(1)
for x3y2 ; mole of x3y2 = 0.05 
0.05 = 9/( 3Mx + 2My
3Mx + 2My = 9/0.05 = 9 × 20 = 180 g ---(2) 
solve eqns (1) and (2)
2Mx = 80 
Mx = 40g/mol 
and My = 30g/mole

The reaction CH4(g) + Cl2(g) → CH3Cl(g) + HCl(g) has ΔH = -25 kCal.
From the given data, what is the bond energy of Cl - Cl bond
  • a)
    70 kCal 
  • b)
    80 kCal
  • c)
     67.75 kCal
  • d)
     57.75 kCal
Correct answer is option 'D'. Can you explain this answer?

During bond breakage energy is absorbed and during bond formation it is released. From the reaction we can say that 1 C-H bond is broken 1 Cl-Cl bond is broken 1 c-cl bond is formed and 1 h-cl bond is formed. so using the sign conventions the equation becomes
x+y-84-103= -25 (∆H = -25)
5x=9y ..putting x=9/5y we get y = 57.75 kCal

One mole of an ideal gas is put through a series of changes as shown in the figure in which 1,2,3 mark the three stages of the system. Pressure at the stages 1, 2, and 3 respectively will be (in bar)
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
Correct answer is option 'D'. Can you explain this answer?

Krishna Iyer answered
Applying ideal gas eqn. at 1
p×22.4 = 1×0.0821×298        (since vol. Is in L. R should haave constaant with lit in it.)
p = 1.09 atm. To convert it into bar, we multiply it by 1.01 or we have 1.03 bar
Similarly at 2 and 3, we get value of pressure at 2 and 3. 
The most closest answer is option d

The dissociation energy of CH4 and C2H6 to convert them into gaseous atoms are 360 and 620 kcal mol-1 respectively. Thus, bond energy of (C—C) bond is
  • a)
    260 kcal mol-1
  • b)
    180 kcal mol-1
  • c)
    130 kcal mol-1
  • d)
    80 kcal mol-1
Correct answer is option 'D'. Can you explain this answer?

Krishna Iyer answered
In CH4 there are 4-C-H bonds. 
Let C-H bond energy be X. So 4X = 360. or X = 90. 
Now, in C2H6 there are 6 C-H bonds and 1C-C bond. 
Let C-C B. E be y. 
So 6X + Y = 620. or Y = 620-6×90 = 80.

It has been observed that the ratio of the molar heat of vaporisation of liquid and its normal boiling point is approximately same for most of the liquids (called Triton's rule) Which of the following does not follow this rule
  • a)
    C61-16
  • b)
    C6H14   
  • c)
    CCI4   
  • d)
    NH3
Correct answer is option 'D'. Can you explain this answer?

Hansa Sharma answered
The correct answer is Option D.
Due to hydrogen bonding in the liquid state there is less entropy than expected and it shows some negative deviation in the Trouton's rule. In vapor state there is more entropy and it shows positive deviation in the rule. Thus for ammonia the Trouton's rule is not applicable.

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