The density of a polyatomic gas in standard conditions is 0.795 kg m-3. The specific heat of the gas at constant volume is :
Answer & explanation
Correct answer: option 2
Ideal gas equation for m grams of gas is :
PV = mrT ... ( where r = specific gas constant)
\(\Rightarrow P = \frac{m}{V}rT = \rho r T\)
r = \(\frac{P}{\rho T} = \frac{1.013*10^5}{0.795*273}\) = 466.7
Specific heat at constant volume ;
\(c_v = \frac{r}{\gamma - 1}\)
\(c_v = \frac{466.7}{\frac{4}{3} - 1}\) = 1400 J/kg-K