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?

Question

Chemistry

Gabrielle Carpenter

24 January, 07:28

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?

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Aspen · 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