Question

A sample of gas occupies a volume of 71.1 mL . As it expands, it does 123.3 J of work on its surroundings at a constant pressure of 783 Torr . What is the final volume of the gas

Answer 1

Answer: The final volume of the gas is 1250 mL

Step-by-step explanation:

To calculate the amount of work done for an isothermal process is given by the equation:

`W=-P\Delta V=-P(V_2-V_1)`

W = amount of work done for expansion process = -123.3 J = -1.217 L.atm (Conversion factor: 1 L.atm = 101.33 J)

Work done for expansion process is taken as negative

P = pressure = 783 torr = 1.03 atm (Conversion factor: 1 atm = 760 torr)

`V_1` = initial volume = 71.1 mL = 0.0711 L (Conversion factor: 1 L = 1000 mL)

`V_2` = final volume = ?

Putting values in above equation, we get:

`1.217=-1.03(V_2-0.0711)\\\\V_2=1.25L=1250mL`

Hence, the final volume of the gas is 1250 mL