Answer
924.5 K
Work Step by Step
According to ideal gas law $PV=nRT$. Since n, is constant, $n_{1}R=n_{2}R.$ So we can write,
$$\frac{P_{1}V_{1}}{T_{1}}=\frac{P_{2}V_{2}}{T_{2}}$$
$T_{2}=(\frac{P_{2}}{P_{1}})(\frac{V_{2}}{V_{1}})T_{1}$ ; Let's plug known values into this equation.
$T_{2}=\frac{48.5\space P_{1}}{P_{1}}(\frac{V_{1}/16}{V_{1}})305\space K=924.5\space K$
