Question:

$C_{p}$ can be less than $C_{V}$. $C_{p} C_{V}=R$ is valid only for ideal gases.

Updated On: Jul 28, 2022
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If both Assertion and Reason are false
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The Correct Option is B

Solution and Explanation

$C_{p}$ can be less than $C_{V}$ for those substances which contract on heating like for water from 0 to $4^{\circ} C$.
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Concepts Used:

Thermal Expansion

Thermal expansion is the tendency of matter to change its shape, area, and volume in response to a change in temperature. Temperature is a monotonic function of the average molecular kinetic energy of a substance.

The expansion of the solid material is taken to be the linear expansion coefficient, as the expansion takes place in terms of height, thickness and length. The gaseous and liquid expansion takes the volume expansion coefficient. Normally, if the material is fluid, we can explain the changes in terms of volume change. 

The bonding force among the molecules and atoms differs from material to material. These characteristics of the compounds and elements are known as the expansion coefficient.

thermal expansion