I have huge vessel filled with $CH_4$ and another vessel filled with hydrogen. Lets assume they have the same mass of gas say $10kg$.
Now I heat both of them up to $500K$. Since the heat capacity of hydrogen is greater than that of $CH_4$ (for $H_2$ it is $14 KJ/kg-K$ and for $CH_4$ it is $2.889KJ/kg-k$), the amount of heat absorbed to raise the temperature of hydrogen is greater than $CH_4$ This is because $Q=mC_P\Delta T$ and m and $\Delta T$ are same for both $H_2$ and $CH_4$, $C_P$ is higher for hydrogen. Is this statement correct?
Now I let them cool to ambient. Assuming the heat transfer coefficients are same, the $CH_4$ would cool faster compared to the hydrogen vessel, this is because the hydrogen vessel has larger heat content and takes more time cool to ambient. Is this correct?