An ideal gas is subjected to two different reversible expansion processes, $P{V}^3=K_1$ and $P{V}^{5/2}=K_2$ from same initial state to same final volume. Which of the following statements is correct regarding the two processes :

The work done by the gas in second process is more as compared to first process.

The magnitude of work done can be compared only by knowing values of $K_1$ and $K_2$.

Heat capacity of the gas for the two processes is same.

Final state for the two processes will be same.