Answer to Question #29622 in Molecular Physics | Thermodynamics for Casey

Question

A 3550 mL sample of gas at 20.0 degrees C and a pressure of 650.0 torr is allowed to expand to a volume of 8.00 L. The final pressure of the gas is 32.0 kPa. What is the final temp. in degrees celsius?

Answer 1

As the pressure goes up, the temperature also goes up, and vice-versa. Initial and final volumes and temperatures under constant pressure can be calculated.

P₁V₁/T₁ = P₂V₂/T₂ = P₃V₃/T₃ etc.

86.66 kPa *3,55 L/ 293 = 32.0 kPa*8.00 L/T₂

1,049 = 32.0 kPa*8.00 L/T₂
T₂ = 32.0 kPa*8.00 L / 1.049
T₂ = 244.041 K = - 28.95 degrees C
Answer: T₂ = 244.041 K