Answer: 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:
[tex]W=-P\Delta V=-P(V_2-V_1)[/tex]
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)
[tex]V_1[/tex] = initial volume = 71.1 mL = 0.0711 L (Conversion factor: 1 L = 1000 mL)
[tex]V_2[/tex] = final volume = ?
Putting values in above equation, we get:
[tex]1.217=-1.03(V_2-0.0711)\\\\V_2=1.25L=1250mL[/tex]
Hence, the final volume of the gas is 1250 mL