Question

A sample of gas occupies a volume of 22.3 mL . As it expands, it does 131.5 J of work on its surroundings at a constant pressure of 777 Torr . What is the final volume of the gas?

Answer 1

1.29L

Step-by-step explanation:

The equation that represents the change in energy for the expansion of a gas under constant pressure is:

W = PΔV

Where W is work in atmL, P is pressure in atm and ΔV is change in volume in liters

Work in atmL:

131.5J * (1atmL / 101.325J) = 1.298atmL

P in atm:

777 torr * (1atm / 760torr) = 1.022atm

ΔV is:

W / P = 1.298atmL / 1.022atm = 1.27L

As initial volume of the gas is 22.3L = 0.0223L

Final volume = 1.27L + 0.0223L =

1.29L