#### Answer

The temperature increases by a factor of 3

#### Work Step by Step

We can use the ideal gas law to solve this question;
$PV = nRT$
$T = \frac{PV}{nR}$
(a) $T_1 = \frac{PV_1}{nR}$
We can find an expression for the new temperature $T_2$ as:
$T_2 = \frac{PV_2}{nR}$
$T_2 = \frac{(P)(3V_1)}{nR}$
$T_2 = 3~\frac{PV_1}{nR}$
$T_2 = 3~T_1$
Therefore, the temperature increases by a factor of 3.