Question

The value of ${C_V}$, for one mole of neon is
A. $\dfrac{1}{2}R$
B. $\dfrac{3}{2}R$
C. $\dfrac{5}{2}R$
D. $\dfrac{7}{2}R$

Answer 1

Hint: The specific heat capacity is defined as the total heat required to heat one kilogram of material in one Kelvin. The answer to this question is based on the concept of physical chemistry, which means that the molar specific heat capacity ${C_V}$ is given for a constant volume and is suitable for ideal gases.

Complete step by step answer:
The unit of specific heat capacity is J/kg/K. The measurement is made because it provides the possibility of mathematically relating the amount of heat energy gained or lost by any material sample to the mass of the sample and the resulting temperature change.

Therefore, based on these facts, we can say that an ideal gas has a specific heat capacity and a real gas constant "R" based on the gas type, which is, for a monatomic gas, it is given by ${C_v}{\text{ }} = {\text{ }}\dfrac{f}{2}R$ , where f is the degree of freedom and the monatomic gas and the value of f for monatomic gas is three.

Neon gas is a monatomic gas, and value of ${C_V}$ for one mole of neon is - ${C_v}{\text{ }} = {\text{ }}\dfrac{3}{2}R$

Hence, the correct option is B.

Note: Similarly, diatomic gas has degrees of freedom $f = 5$. Therefore, the specific heat capacity for diatomic gas is ${C_v}{\text{ }} = {\text{ }}\dfrac{5}{2}R$. Please note that for solids and most liquids, the fact that the specific heat capacity values ​​${C_p}\~{C_v}$ and at constant pressure also help solve rather than confuse the specific heat capacity problem.