For an ideal gas, initially at a volume of 0.777778 L, the work done by the gas during this process is mathematically given as
w=15.380613
Generally, the equation for the work done is mathematically given as
W=p1v1invfvi
Therefore
v2=p1v1/p2
v2=9*1.0.77778/1
v2=7.00002
In conclusion
w=7.00002ln7/0.777778
w=15.380613
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