A helium-filled weather balloon is launched from the ground where the pressure is 752 mmHg and the temperature is 21°C.Under these conditions its volume is 75.0 L.When it has climbed to an altitude where the pressure is 89 mmHg and the temperature is 0°C,what is its volume?

Question

Quizplus · Accepted Answer

The volume of the balloon at the higher altitude 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 (21°C = 294 K and 0°C = 273 K) and plugging in the given values: $752 \times 75 / 294 = 89 \times V_2 / 273$. Solving for $V_2$ gives approximately 588 L.

A Helium-Filled Weather Balloon Is Launched from the Ground Where