Question

A sample of gas has a pressure of 3.00 atm at 25 degrees Celsius. What would the pressure be at 52 degrees Celsius if the volume stays constant? Which gas law does this problem represent?

Answer 1

The law that relate pressure and temperature of gases at constant volumes is Gay-Lussac's Law.

It states that the pressure of a fixed mass of gas is directly proportional to the absolute temperature when the volume is constant.

 P / T = constant => P1 / T1 = P2 / T2

=> P2 = T2 * P1 / T1

Remember that the formula uses absolute temperatures.

T2 = 52 + 273.15 = 325.15 K

T1 = 25 + 273.15 = 298.15 K

=> P2 = 325.15K * 3.00 atm / 298.15K = 3.27 atm.

Answer: 3.27 atm