Three moles of helium gas at one atmosphere are compressed reversibly and isothermally at 127^(@)C to 5 atmospheres. Calculate the work done.

Three moles of helium gas at one atmosphere are compressed reversibly

1.	Three moles of helium gas at one atmosphere are compressed reversibly and isothermally at 127^(@)C to 5 atmospheres. Calculate the work done.
Answer» <P> Solution :`T = 127^(@)C = 127 + 273 = 400 K, P_(1) = 1` atm, `P_(2) = 5` atm `R = 8.314 J//K mol, n = 3 "mole"` `w = -2.303 nRT LOG ((P_(1))/(P_(2))) = -2.303 xx 3 xx 8.314 xx 400 xx log ((1)/(5))` `= -2.303 xx 3 xx 8.134 xx 400 xx BAR(1).3010` `= -2.303 xx 3 xx 8.314 xx 400 xx (-0.6990) = +16,060 "joule" = +16.06 kJ`