Discussion Forum

C_p and C_v are specific heats at constant pressure and constant volume, respectively. It is observed that C_p - C_v =a for hydrogen gas C_p - C_v =b  for nitrogen gas. The  correct relation between a and b is

Answer:

Explanation:

By mayor's relation, for 1 g mole of a gas.

                      C_P -C_V =R

So, when n gram moles are given,

     $C_{p}-C_{v}= \frac{R}{n}$

  As per given question,

                    $a=C_{p}-C_{v}= \frac{R}{2}$ , for H₂     ............(i)

                  $b=C_{p}-C_{v}= \frac{R}{28}$  , for N₂    ............(ii)

From Eqs. (i) and (ii) , we get

              a=14b