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

The final volume of the gas is 1250 mL

Explanation:

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

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)

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

= final volume = ?

Putting values in above equation, we get:

Hence, the final volume of the gas is 1250 mL