## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

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.