Question

A very small helium-filled balloon has a volume of 530.0 mL. At the point you released the balloon, the pressure was 756.8 mmHg at 21.69ºC. What is the volume of the balloon (in liters) once it has ascended into the stratosphere where the pressure is 0.890 mmHg and a temperature of -71.37ºC?

Answer 1

Answer on Qusetion #83635, chemistry/General Chemistry

A very small helium-filled balloon has a volume of 530.0 mL. At the point you released the balloon, the pressure was 756.8 mmHg at 21.69ºC. What is the volume of the balloon (in liters) once it has ascended into the stratosphere where the pressure is 0.890 mmHg and a temperature of -71.37ºC?

Solution

Use Combined and Ideal Gas Laws to answer this question:

P₁V₁/T₁ = P₂V₂/T₂

where

P₁ = 756.8 mmHg

V₁ = 0.5300 L

T₁(K) = 21.69C + 273.15 = 294.84 K

P₂ = 0.890 mmHg

T₂(K) = -71.37C + 273.15 = 201.78 K

756.8 mmHg *0.5300 L/294.84 K = 0.890 mmHg *V₂ /201.78 K

V₂ = 308.4 L

Answer: 308.4 L