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Determine the work done by an ideal gas ...

Determine the work done by an ideal gas doing `1 rarr 4 rarr 3rarr 2 rarr 1`.
Given `P_(1) = 10^(5) Pa, P_(0) = 3 xx 10^(5) Pa, P_(3) = 4 xx 10^(5) Pa` and `V_(2) - V_(1) = 10 L`.

Text Solution

Verified by Experts

From Fig.
`(V_(4) - V_(3))/(V_(2) - V_(1)) = (P_(3) - P_(0))/(P_(0) - P_(1)) implies (V_(4) - V_(3))/(10) = (4 xx 10^(5) - 3 xx 10^(5))/(3 xx 10^(5) - 10^(5))`
`V_(4) - V_(3) = 5 L`
Now, work done
`W = ((1)/(2) xx 10 xx 2 xx 10^(5) - (1)/(5) xx 5 xx 1 xx 10^(5)) xx 10^(-3) = 750 J`
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