One mole of an ideal diatomic gas (with rigid molecules) is heated in such a way that its pressure stays directly proportional to its volume, $P = \beta V$, where $\beta$ is a constant. Its temperature rises by $50\ \text{K}$. Taking $R = 8.3\ \text{J mol}^{-1}\,\text{K}^{-1}$, the heat supplied to the gas is