An ideal gas undergoes isothermal compression from 5 m 3 to 1 m 3 against a constant external pressure of 4 N m - 2 . The heat released in this process is 24 J mol - 1 K - 1 and is used to increase th

Question

An ideal gas undergoes isothermal compression from 5 m 3 to 1 m 3 against a constant external pressure of 4 N m - 2 . The heat released in this process is 24 J mol - 1 K - 1 and is used to increase the pressure of 1 mole of Al . The temperature of Al increases by:

TestHub · Accepted Answer

Work done on isothermal irreversible compression for an ideal gas:

$W = - 4 [1 - 5] = 16 J$

For an isothermal process, $∆U = 0$

$q = - 16 J$ ; heat released is $16 J$ .

$q = {nC}_{m} ΔT$

$16 = 1 \times 24 \times ∆ T$

$∆ T = \frac{2}{3} K$

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