Discussion Forum



1)

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


A) a=b

B) a=14b

C) a=28b

D) $a=\frac{1}{14}b$

Answer:

Option B

Explanation:

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

                      CP -CV =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