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A very flexible helium-filled balloon is released from the ground into the air a

ID: 800350 • Letter: A

Question

A very flexible helium-filled balloon is released from the ground into the air at 20. ?C. The initial volume of the balloon is 5.00 L, and the pressure is 760. mmHg. The balloon ascends to an altitude of 20 km, where the pressure is 76.0 mmHg and the temperature is ?50. ?C. What is the new volume, V2, of the balloon in liters, assuming it doesn't break or leak? part II
Consider 4.00L of a gas at 365 mmHg and 20. ?C . If the container is compressed to 2.80L and the temperature is increased to 38?C , what is the new pressure, P2, inside the container? Assume no change in the amount of gas inside the cylinder.
A very flexible helium-filled balloon is released from the ground into the air at 20. ?C. The initial volume of the balloon is 5.00 L, and the pressure is 760. mmHg. The balloon ascends to an altitude of 20 km, where the pressure is 76.0 mmHg and the temperature is ?50. ?C. What is the new volume, V2, of the balloon in liters, assuming it doesn't break or leak? part II
Consider 4.00L of a gas at 365 mmHg and 20. ?C . If the container is compressed to 2.80L and the temperature is increased to 38?C , what is the new pressure, P2, inside the container? Assume no change in the amount of gas inside the cylinder.

Explanation / Answer


(1) P1V1/T1 = P2V2/T2

760 x 5.00/(273.15 + 20) = 76.0 x V2/(273.15 - 50)

Volume V2 = 38.1 L


(2) P1V1/T1 = P2V2/T2

365 x 4.00/(273.15 + 20) = P2 x 2.80/(273.15 + 38)

Pressure P2 = 553 mmHg


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