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3 rd Law of thermodynamics Questions in English

Class 11 Chemistry · Thermodynamics · 3 rd Law of thermodynamics

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1
MediumMCQ
The entropy of crystalline substances at absolute zero,according to the third law of thermodynamics,should be taken as:
A
$100$
B
$50$
C
$0$
D
Different for different substances

Solution

(C) The third law of thermodynamics states that the entropy of a perfectly crystalline substance at absolute zero $(0 \ K)$ is exactly $0$.
Therefore,the correct option is $(C)$.
2
EasyMCQ
Identify the correct statement regarding entropy.
A
At $0 \, ^\circ C$,the entropy of a perfectly crystalline substance is taken to be zero.
B
At absolute zero of temperature,the entropy of a perfectly crystalline substance is positive.
C
At absolute zero of temperature,the entropy of all crystalline substances is taken to be zero.
D
At absolute zero of temperature,the entropy of a perfectly crystalline substance is taken to be zero.

Solution

(D) This is the statement of the third law of thermodynamics. According to the third law,the entropy of a perfectly crystalline substance approaches zero as the temperature approaches absolute zero $(0 \, K)$.
3
EasyMCQ
The entropy of a perfectly crystalline solid at absolute zero is
A
Positive
B
Negative
C
Zero
D
Not definite

Solution

(C) The entropy of a perfectly crystalline substance at absolute zero $(0 \ K)$ is taken as $0$. This is a direct consequence of the $III$ law of thermodynamics,which states that the entropy of a perfect crystal approaches zero as the temperature approaches absolute zero.
4
EasyMCQ
The law formulated by Dr. Nernst is
A
First law of thermodynamics
B
Second law of thermodynamics
C
Third law of thermodynamics
D
Both $(a)$ and $(b)$

Solution

(C) The Nernst heat theorem was formulated by Walther Nernst in the early $20^{th}$ century.
It states that as the temperature approaches absolute zero,the entropy change for a chemical reaction involving pure crystalline substances approaches zero.
This theorem was instrumental in the development of the $Third$ law of thermodynamics.
5
EasyMCQ
Which law of thermodynamics helps in calculating entropy at different temperatures?
A
First law
B
Second law
C
Third law
D
Zeroth law

Solution

(C) The $Third \ law \ of \ thermodynamics$ states that the entropy of a perfect crystal at $0 \ K$ is zero. This provides an absolute reference point,which allows for the calculation of the absolute entropy of a substance at any temperature $T$ by integrating the heat capacity data from $0 \ K$ to $T$.
6
EasyMCQ
Which of the following state functions is not zero at the standard state?
A
Enthalpy
B
Entropy
C
Free energy
D
None of these

Solution

(B) The correct answer is $B$.
By definition,the standard enthalpy of formation $(\Delta_fH^\circ)$ and standard Gibbs free energy of formation $(\Delta_fG^\circ)$ of an element in its most stable state at $298 \ K$ and $1 \ bar$ pressure is zero.
However,the absolute entropy $(S^\circ)$ of a substance at standard state is not zero,as per the $3^{rd}$ law of thermodynamics,which states that the entropy of a perfect crystal is zero only at $0 \ K$.
7
EasyMCQ
Identify the correct statement regarding entropy.
A
At absolute zero temperature,the entropy of a perfectly crystalline substance is positive.
B
At absolute zero temperature,the entropy of a perfectly crystalline substance is taken as zero.
C
At $0\,^{\circ}C$,the entropy of a perfectly crystalline substance is taken as zero.
D
At absolute zero temperature,the entropy of all crystalline substances is taken as zero.

Solution

(B) According to the $3^{rd}$ law of thermodynamics,the entropy of a perfectly crystalline substance approaches zero as the temperature approaches absolute zero $(0 \ K)$.
This is because at $0 \ K$,the particles in a perfect crystal are in their lowest possible energy state and have perfect order,resulting in no positional or thermal disorder.
8
EasyMCQ
At what temperature is the entropy of a perfectly crystalline substance considered to be zero?
A
$0\,{}^{\circ}C$
B
$273\,{}^{\circ}C$
C
$0\,K$
D
$233\,K$

Solution

(C) According to the $Third \ Law \ of \ Thermodynamics$,the entropy of a perfectly crystalline substance approaches zero as the temperature approaches absolute zero $(0\,K)$.
Therefore,at $0\,K$,the entropy of a perfectly crystalline substance is considered to be zero.
9
Difficult
Describe the absolute entropy and the third law of thermodynamics.

Solution

(N/A) The entropy of a system is related to the molecular motion. As the temperature of a system rises,these motions become more vigorous and entropy increases. Conversely,when the temperature is lowered,the entropy decreases.
The third law of thermodynamics states that the entropy of a perfectly ordered pure crystalline substance approaches zero as the temperature approaches absolute zero $(0 \ K)$.
This law applies specifically to pure crystalline solids due to both theoretical arguments and practical evidence.
It is important to note that the entropy of solutions and supercooled liquids is not zero at $0 \ K$.
For a pure substance,the absolute entropy at a given temperature $T$ can be calculated by summing the $\frac{q_{rev}}{T}$ increments from $0 \ K$ to $T$.
10
Easy
State the third law of thermodynamics.

Solution

(N/A) The third law of thermodynamics states that the entropy of a perfectly crystalline substance at absolute zero temperature $(0 \ K)$ is zero.
11
Easy
State the third law of thermodynamics.

Solution

(N/A) The third law of thermodynamics states that the entropy of a perfectly crystalline substance at absolute zero temperature $(0 \ K)$ is zero.
12
Medium
Fill in the blanks:
$(i)$ The standard enthalpy of formation of any element in its reference state is considered to be $.........$.
$(ii)$ The scientist $.........$ stated that the entropy of a perfectly crystalline substance decreases with a decrease in temperature.
$(iii)$ At absolute zero temperature,the entropy of a perfectly crystalline substance is zero. This statement represents the $.........$ law of thermodynamics.

Solution

(N/A) $(i)$ $0$ (Zero)
$(ii)$ $Nernst$
$(iii)$ $Third$
13
Difficult
Fill in the blanks given below:
$(i)$ : The scientist who stated that the entropy of a perfectly crystalline substance decreases with a decrease in temperature is .......
$(ii)$ The statement that the entropy of a perfectly pure crystalline substance is zero at absolute zero temperature represents the .... law of thermodynamics.
$(iii)$ The entropy of one mole of a substance at a fixed temperature and standard state is called ..........
$(iv)$ The unit of molar entropy is .........

Solution

(N/A) $(i)$ Nernst
$(ii)$ Third
$(iii)$ Standard molar entropy
$(iv)$ $J \ K^{-1} \ mol^{-1}$
14
EasyMCQ
If the entropy of a solid is greater than zero at $T = 0 \ K$,it is called:
A
standard entropy
B
residual entropy
C
formal entropy
D
absolute entropy

Solution

(B) According to the $3^{rd}$ law of thermodynamics,the entropy of a perfectly crystalline substance is zero at $T = 0 \ K$.
If a substance is not perfectly crystalline (e.g.,it has defects or frozen-in disorder),its entropy at $T = 0 \ K$ is greater than zero.
This remaining entropy at absolute zero is known as residual entropy.
15
EasyMCQ
The correct statement regarding entropy is,
A
At absolute zero temperature,entropy of a perfectly crystalline solid is zero.
B
At absolute zero temperature,the entropy of a perfectly crystalline substance is $ +V e $.
C
At absolute zero temperature,the entropy of all crystalline substances is zero.
D
At $ 0^{\circ} C $,the entropy of a perfect crystalline solid is zero.

Solution

(A) The $3^{rd}$ law of thermodynamics states that at absolute zero temperature (i.e.,$0 \ K$),the entropy of a perfectly crystalline solid is zero. This is because there is no thermal motion and perfect order in the crystal lattice.

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