1.

In given figure, gas is slowely heated for sometime. During the process, the increases in internal energy of the gas is `10J` and the piston is found to move out by `25cm`, then find the amount of heat supplied. The area of cross-section of cylinder `= 40cm^(2)` and atmospheric pressure `100 kPa`

Answer» Correct Answer - `110J`
`dQ = dU +dW, = dU = PdV = dU +Padx`
`= 10 xx 10^(5) xx 40 xx 10^(-4) xx 25 xx 10^(-2)`
`rArr 10 +10^(5) xx 10^(-4) xx 1000 xx 10^(-2)`
`= 10 +100 = 110J, :. dQ = 110J`


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