A 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

We can use the combined gas law to solve for the new volume of the balloon:

(P1V1/T1) = (P2V2/T2)

where P1 and T1 are the initial pressure and temperature, P2 and T2 are the final pressure and temperature, and V1 and V2 are the initial and final volumes.

Plugging in the given values:

(101 kPa)(2.0 L)/(295 K) = (20 kPa)(V2)/(234 K)

Simplifying:

V2 = (101 kPa)(2.0 L)/(295 K) * (234 K)/(20 kPa)

V2 = 8.0 L

Therefore, the new volume of the balloon when the gas pressure inside is equal to the ambient pressure is 8.0 m3.

A Balloon Containing 2