Answer to Question #214635 in Molecular Physics | Thermodynamics for Wavie

Question

The relative molecular mass of carbondioxide CO2 is 44. In an experiment, the value of γ for CO2 was found to be 1.3. Assuming that CO2 is a perfect gas, calculate the specific gas constant R and the specific heats at constant pressure cp and at constant volume, cv

Answer 1

Solution.

$M=44\sdot10^{-3}kg/mol;$

$\gamma=1.3$ ;

$R=\dfrac{R_0}{M};$

$R=\dfrac{8.31}{44\sdot10^{-3}}=188.9J/kgK;$

$C_V=\dfrac{R}{\gamma-1};$

$C_V=\dfrac{188.9}{1.3-1}=629.7J/kgK;$

$C_P-C_V=R\implies C_p=R+C_V;$

$C_P=188.9+629.7=818.6J/kgK;$;

Answer: $R=188.9J/kgK;$

$C_V=629.7J/kgK;$

$C_P=818.6J/kgK.$