Two moles of an ideal gas initially at `27^(@)C` and one atmospheric pressure are compressed isothermally and reversibly till the final pressure of the gas is 10 atm. Calculate q, w AND `Delta U` for the process.

Two moles of an ideal gas initially at `27^(@)C` and one atmospheric p

1.	Two moles of an ideal gas initially at `27^(@)C` and one atmospheric pressure are compressed isothermally and reversibly till the final pressure of the gas is 10 atm. Calculate q, w AND `Delta U` for the process.
Answer» Here, `n = 2` moles , `T = 27^(@) C=300 K, P _(1)= 1 atm,P _(2) =10 atm` `w= 2.303n RT log. (P_(2))/(P_(1)) = 2.303 xx 2 mol xx 8.314 JK^(-1) mol^(-1) xx 300 K xx log. (10)/(1) = 11488 J ` For isothermal compressionof ideal gas, `Delta U = 0` Further, `Delta U = q+w :. q = -w = -11488J`

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Two moles of an ideal gas initially at `27^(@)C` and one atmospheric pressure are compressed isothermally and reversibly till the final pressure of the gas is 10 atm. Calculate q, w AND `Delta U` for the process.

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