A gas expands adiabatically from 1.0 L to 12.0 L against a constant pressure of 0.75 atm. The $△ U$ of the gas is

- 835.9 J

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853.9 J

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859.9 J

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- 839.5 J

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Solution

The correct option is A - 835.9 J
First law of thermodynamics $△ U = Q + W$
$Q = 0$ (adibatic expansion)
$s o, △ U = W$
$△ U = W = - p_{e x t} △ V = - (0.75 a t m) (12.0 L - 1.0 L)$
$= 8.25 L a t m$
$\equiv - (8.25 L a t m) (\frac{8.314 J}{0.082 L a t m}) = - 835.9 J$

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