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

We can use the ideal gas law to solve this question. $PV = nRT$ $P = \frac{nRT}{V}$ (a) $P_1 = \frac{nRT_1}{V_1}$ We can find an expression for the new pressure $P_2$: $P_2 = \frac{nRT_2}{V_2}$ $P_2 = \frac{nR(3T_1)}{2V_1}$ $P_2 = \frac{3}{2}~\frac{nRT_1}{V_1}$ $P_2 = 1.5~P_1$ The pressure increases by a factor of 1.5. (b) $P_1 = \frac{nRT_1}{V_1}$ We can find an expression for the new pressure $P_2$: $P_2 = \frac{nRT_2}{V_2}$ $P_2 = \frac{nR(3T_1)}{(V_1/2)}$ $P_2 = 6~\frac{nRT_1}{V_1}$ $P_2 = 6~P_1$ The pressure increases by a factor of 6.