Question

Find the number of degrees of freedom of molecules in a gas. Whose molar heat capacity $C=29Jmo{l}^{-1}{K}^{-1}$ in the process PT = constant.

Answer 1

$PT=const$

$\Rightarrow P\cdot \left(\frac{PV}{nR}\right)=const$

$\Rightarrow P^{2}V=const$

$\Rightarrow P{V}^{\frac{1}{2}}=const$

$C=\frac{fR}{2}+\frac{R}{1-x}$

$\Rightarrow 2q=\frac{fR}{2}+2R$

$\Rightarrow 2q=\left(\frac{f+4}{2}\right)R$

$\Rightarrow 58=\left(f+4\right)R$

$\Rightarrow f+4=\frac{58}{R}$

$\Rightarrow f=\frac{58}{R}-4$ Answer.