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The pressure p, volume V and temperature...

The pressure p, volume V and temperature T for a gas are related by p = `(AT - BT^(2))/(V)`, where A and B are constanst. The work done by the gas when the temperature changes from `T_(1)` to `T_(2)` while the pressure remains constant, is given by

A

`A(T_(2) - T_(1))+B(T_(2)^(2) - T_(1)^(2))`

B

`(A(T_(2)-T_(1)))/(V_(2)-V_(1))-(B(T_(2)^(2)-T_(1)^(2)))/(V_(2)-V_(1))`

C

`A(T_(2)-T_(1))-B(T_(2)^(2)-T_(1)^(2))`

D

`(A(T_(2)-T_(2)^(2)))/(V_(2)-V_(1))`

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