The ratio (CP/CV)=γ for a gas. Its molecular weight is M. Its specific heat capacity at constant pressure is

Question

The ratio (CP/CV)=&gamma; for a gas. Its molecular weight is M. Its specific heat capacity at constant pressure is (A) (R/&gamma;-1) (B) (&gamma; R/&gamma;-1) (C) (&gamma; R/M(&gamma;-1)) (D) (&gamma; R M/(&gamma;-1))

Tardigrade Admin · Accepted Answer

According to Mayer's relation CP-CV=R or 1-(CV/CP)=(R/CP) or 1-(1/&gamma;)=(R/CP) (∵ &gamma;=(CP/CV)) or (&gamma;-1/&gamma;)=(R/CP) or CP=(&gamma; R/&gamma;-1) Specific heat capacity =( text molar heat capacity / text molecular weight ) Specific heat capacity at constant pressure =(&gamma; R/M(&gamma;-1))

Q. The ratio $\frac{C _{P}}{C _{V}} = γ$ for a gas. Its molecular weight is $M$ . Its specific heat capacity at constant pressure is

$\frac{R}{γ - 1}$

$\frac{γ R}{γ - 1}$

$\frac{γ R}{M ( γ - 1 )}$

$\frac{γ RM}{( γ - 1 )}$

Q. The ratio CV​CP​​=γ for a gas. Its molecular weight is M. Its specific heat capacity at constant pressure is

γ−1R​

γ−1γR​

M(γ−1)γR​

(γ−1)γRM​

According to Mayer's relation CP​−CV​=R or 1−CP​CV​​=CP​R​ or 1−γ1​=CP​R​ (∵γ=CV​CP​​) or γγ−1​=CP​R​ or CP​=γ−1γR​ Specific heat capacity = molecular weight molar heat capacity ​ Specific heat capacity at constant pressure =M(γ−1)γR​

Q. The ratio $\frac{C _{P}}{C _{V}} = γ$ for a gas. Its molecular weight is $M$ . Its specific heat capacity at constant pressure is

$\frac{R}{γ - 1}$

$\frac{γ R}{γ - 1}$

$\frac{γ R}{M ( γ - 1 )}$

$\frac{γ RM}{( γ - 1 )}$