Answer to Question #122564 in General Chemistry for Andrew

Question

A tank can safely hold gas up to a pressure of 44.3 atm. When
the tank contains some nitrogen gas at 25 ºC, the gas exerts a
pressure of 10.1 atm. What is the highest temperature to
which the gas sample can be heated safely?

Answer 1

According to Gay-Lussac's law, p₁/T₁ = p₂/T₂

T₂ = 25^oC = 298K

p₁ = 44.3 atm

p₂ = 10.1 atm

T₁ = (p₁ x T₂) / p₂ = (44.3atm x 298K) / 10.1atm = 1307 K

Answer: 1307 K