A constant volume gas thermometer has a pressure of 2.00 atm at 100°C. What would its pressure be at 0°C?
A) 0.732 atm
B) 1.46 atm
C) 1.24 atm
D) 1.37 atm
E) More information is needed to find the answer.

Question

Quizplus · Accepted Answer

Based on Charles's Law, the volume of a gas at a constant pressure is directly proportional to the temperature in Kelvin. Therefore, as the temperature decreases from 100°C to 0°C (273 K to 273 K - 100 K = 173 K), the volume of the gas decreases as well. Since the gas thermometer has a constant volume, the pressure must decrease proportionally to the decrease in temperature. Using the combined gas law, P₁T₁ = P₂T₂, we can find the pressure at 0°C (273 K - 0 K = 273 K): 
(2.00 atm)(373 K) = (P₂)(273 K)
P₂ = (2.00 atm)(373 K) / (273 K) = 2.74 atm
Therefore, the pressure at 0°C would be 2.74 atm, which is closest to choice B (1.46 atm).

A Constant Volume Gas Thermometer Has a Pressure of 2