Answer: The final volume of the gas is 1.45 L
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 = -145.0 J = 1.431 L.atm (Conversion factor: 1 L.atm = 101.33 J)
For expansion, work done is always negative
P = pressure = 783 Torr = 1.03 atm (Conversion factor: 1 atm = 760 torr)
[tex]V_1[/tex] = initial volume = 60.7 mL = 0.0607 L (Conversion factor: 1 L = 1000 mL)
[tex]V_2[/tex] = final volume = ?
Putting values in above equation, we get:
[tex]-1.431L.atm=-(1.03atm)\times (V_2-0.0607)\\\\V_2=1.45L[/tex]
Hence, the final volume of the gas is 1.45 L
