A sample of gas is in a cylinder of fixed volume.At 20.0^°C its internal pressure is 3.42 atm.What will be its pressure at 120.0^°C?

Question

Quizplus · Accepted Answer

Since the volume is fixed, the pressure-temperature relationship can be used:

(P1/T1) = (P2/T2)

where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature.

Converting the initial temperature and pressure to Kelvin and atmospheres:

P1 = 3.42 atm
T1 = 20.0 + 273.15 = 293.15 K

Converting the final temperature to Kelvin:

T2 = 120.0 + 273.15 = 393.15 K

Solving for P2:

(P1/T1) = (P2/T2)

P2 = (P1/T1) * T2

P2 = (3.42 atm / 293.15 K) * 393.15 K

P2 = 4.59 atm

Therefore, the answer is B) 4.59 atm.

A Sample of Gas Is in a Cylinder of Fixed