1.

Figure shows the variation of internal energy (U) with the pressure (P) of 2.0 mole gas in cyclic process abeda. The temperature of gas at c and d are 300 and 500 K. How much will be the heat absorbed by the gas during the process?

Answer»

`400 R" In " 2`
`100 " Rin " 2`
`100 " Rin" 2`
`50 " Rin " 2`

SOLUTION :Change in internal ENERGY for cyclic process `(Delta U ) = 0 `
For process ` a to b, `(P - CONSTANT )
`W_(a to b) = P.dV = nRdT = - 400 R`
For process `b to c `(T - constant )
`W_(b to c) = - 2R (300 ) ` In 2
For process` c to d` (T - constant)
`W_(c to d) = + 400 R`
For process `d to a ` (T - constant)
`W_(d to a) = + 2R (500 )` In 2
Net work `(Delta W) = W_(a to b) + W_(b to c) + W_(c to d) + W_(d to a)`
` Delta W = 400 R " In " 2`
`:. Delta Q = Delta U + Delta W`
` :. Delta Q = 400 R" In " 2`


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