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1.0 mol of a monoatomic ideal gas is exp...

1.0 mol of a monoatomic ideal gas is expanded from state (1) to state (2) as shown in figure. Calculate the work done for the expansion of gas from state (1) to state (2) at 298 K.

Text Solution

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The given diagram represent that the process is carried out in infinite steps, hence it is isothermal reversible expansion of the ideal gas from pressure 2.0 atm to 1.0 atm to 1.0 atm 298 K.
`W = -2303 nRT log (rho_(1))/(rho_(2))`
`W = -2.303 xx 1 mol xx 8.314 JK^(-1) mol^(-1) xx 298 K log` `therefore (rho_(1)/rho_(2) = 2/1)`
`W = -2.303 xx 1 xx 8.314 xx 298 xx 0.3010` J
`W = -1717.46` J
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