Question

Entropy of crystalline solid at absolute zero is 0.
If true enter 1, else enter 0.

Answer 1

Hint: To answer this question you need to recall the third law of thermodynamics. As we know that the crystal must be perfect or else there will be some inherent disorder.

Complete step by step answer:
Let us first know about the third law of thermodynamics.
The third law of thermodynamics states that the entropy of a system approaches a constant value as the temperature approaches zero.
At zero temperature the system must be in a state with the minimum thermal energy. This statement holds true if the perfect crystal has only one state with minimum energy.
The entropy of a system approaches a constant value as we know that the temperature approaches zero. The constant value is called the residual entropy of the system.

The entropy determined relative to this point (absolute zero) is the absolute entropy. Mathematically, the absolute entropy of any system at zero temperature is the natural log of the number of ground states times Boltzmann’s constant ${ k }_{ B }$. The entropy of a perfect crystal lattice is zero, provided that its ground state is unique (only one), because ln(1) = 0.

Therefore, Entropy of crystalline solid at absolute zero is 0. Hence the given statement is true. So enter 1.

Note: As we know that entropy is the amount of disorder in a system. You should know that the second law of thermodynamics states that the world as a whole is always in a state of positive entropy.