Suppose a balloon is filled so that its volume is 2.00 L when the pressure is 750 torr and the temperature is 24°C. What is the volume of the balloon when it rises to an elevation where the pressure is 375 torr and the temperature is 12°C?
A) 0.261 L
B) 0.500 L
C) 2.00 L
D) 3.84 L

Question

Quizplus · Accepted Answer

The volume of the balloon when it rises can be found using the combined gas law, which is $P_1V_1/T_1 = P_2V_2/T_2$, where $P$ is pressure, $V$ is volume, and $T$ is temperature in Kelvin. Converting temperatures to Kelvin (24°C = 297K, 12°C = 285K) and solving for $V_2$ gives $V_2 = (P_1V_1T_2)/(P_2T_1) = (750 \, \text{torr} \times 2.00 \, \text{L} \times 285 \, \text{K}) / (375 \, \text{torr} \times 297 \, \text{K}) = 3.84 \, \text{L}$.

Suppose a Balloon Is Filled So That Its Volume Is