A weather balloon containing 2.0 m³ of hydrogen gas rises from a location at which the temperature is 22°C and the pressure is 101 kPa to a location where the temperature is -39°C and the pressure is 20 kPa.If the balloon is free to expand so that the pressure of the gas inside is equal to the ambient pressure,what is the new volume of the balloon? A)4.0 m³ B)6.0 m³ C)8.0 m³ D)10 m³ E)12 m³

Question

Quizplus · Accepted Answer

To find the new volume, we can use the combined gas law: $ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} $. Convert temperatures to Kelvin: $T_1 = 22°C + 273 = 295K$, $T_2 = -39°C + 273 = 234K$. Solve for $V_2$: $V_2 = \frac{P_1V_1T_2}{P_2T_1} = \frac{101 \times 2.0 \times 234}{20 \times 295} = 8.0 \, m^3$.

A Weather Balloon Containing 2