Answer : The fractional increase in the volume of the gas is, 1.78
Explanation :
Formula used to calculate the work done by the gas in quasi-static isobaric expansion is:
[tex]w=p\times dV[/tex]
Isobaric means, at constant pressure.
[tex]w=p\times (V_f-V_i)[/tex]
where,
w = work done by the gas = 700 J = 6.909 L.atm (1 L.atm = 101.32 J)
p = pressure of the gas = 0.40 atm
[tex]V_f[/tex] = final volume = ?
[tex]V_i[/tex] = initial volume = 22.0 L
Now put all the given values in the above formula, we get:
[tex]w=p\times (V_f-V_i)[/tex]
[tex]6.909L.atm=0.40atm\times (V_f-22.0)L[/tex]
[tex]V_f=39.3L[/tex]
Now we have to calculate the fractional increase in the volume of the gas.
Fractional increase in the volume of the gas = [tex]\frac{V_f}{V_i}[/tex]
Fractional increase in the volume of the gas = [tex]\frac{39.3L}{22.0L}[/tex]
Fractional increase in the volume of the gas = 1.78
Thus, the fractional increase in the volume of the gas is, 1.78
