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Two litres of an ideal gas at a pressure of 10 atm expands Isothermally into vacuum until its total volume is 10 litres. How muach heat is absorbed and howmuch work is done in the expansion ? What would be the heat absorbed andwork done (i) if the same expansion takes place against a constant external pressure of 1 atm ? (ii) if the same expansion takes place to a final volume of 10 litres conducted reversibly? |
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Answer» For isothermal expansion of an ideal gas,` Delta U = 0` `:. q = -w= P_(ext) ( 10L -2L) = 0 (8) = 0` (i) ` q= - w = 1 atm xx 8 L = 8 L atm = 8 xx 101.3 J = 810.4 J ( 1L atm = 101. 3 J )` (ii) `q= -w= 2.303 RT log. (V_(2))/(V_(1)) = 2.303 PV log . (V_(2))/(V_(1)) = 2.303 xx 10 atm xx 2 L log. (10)/(2) = 32. 2 L atm.` `= 32.2 xx 101 . 3 J = 3261.86J` |
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