Question 27: Thermodynamics & KTG

Question

The ratio of the specific heats $${{{C_v}} \over {{C_p}}} = {1 \over \gamma }$$ in terms of degrees of freedom (n) is given by

Accepted Answer

As we know,
$${C_v} = {n \over 2}R$$ ...... (i)
$${C_p} = \left( {{n \over 2} + 1} \right)R$$ ..... (ii)
On dividing Eq. (ii) by Eq. (i), we get
$${{{C_p}} \over {{C_v}}} = \gamma  = {{\left( {{n \over 2} + 1} \right)} \over {{n \over 2}}} = 1 + {2 \over n}$$
$$ \Rightarrow {{{C_p}} \over {{C_v}}} = 1 + {2 \over n}$$

Answer

$$\left( {1 + {n \over 3}} \right)$$

Answer

$$\left( {1 + {2 \over n}} \right)$$

Answer

$$\left( {1 + {n \over 2}} \right)$$

Answer

$$\left( {1 + {1 \over n}} \right)$$

Thermodynamics & KTG

The ratio of the specific heats ${{{C_v}} \over {{C_p}}} = {1 \over \gamma }$ in terms of degrees of freedom (n) is given by

Choose the correct answer: