For many purposes we can treat nitrogen (N) as an ideal gas at temperatures above its boiling point of -196. C. Suppose the temperature of a sample of nitrogen gas is raised from -13.0°C to 24.0°C, and at the same time the pressure is changed. If the initial pressure was 7.0 atm and the volume decreased by 35.0%, what is the final pressure? Round your answer to the correct number of significant digits.

Respuesta :

Answer: 22.8atm

Explanation:

T1 = —13°C = —13 +273 = 260K

T2 = 24°C = 24 +273 = 297K

V1 = V

V2 = 35% of V= 0.35V

P1 = 7atm

P2 =?

P1V1/T1 = P2V2 /T2

(7 x V)/260 = (P2 x 0.35V)/297

P2x0.35Vx260 = 7V x 297

P2 x 91V = 2079V

P2 = 2079V / 91V

P2 = 22.8atm