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0.80 mol of an ideal gas expands at constant temperature from 4.0 L into an evacuated vessel, until…

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$0.80$ mol of an ideal gas expands at constant temperature from $4.0$ L into an evacuated vessel, until it fills $12.0$ L. Find $w$ , $\Delta U$ and $q$ . Explain each.

Need a reminder? The key ideaShow

Work against a constant outside pressure: $w = -p_\text{ex}\Delta V$ , with $1$ L bar $= 100$ J and $1$ L atm $= 101.3$ J. Free expansion: $w = 0$ . Reversible isothermal ideal gas: $w = -2.303\,nRT\log\dfrac{V_f}{V_i}$ , and $\Delta U = 0$ , so $q = -w$ .

The worked solution

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0.80 mol of an ideal gas expands at constant temperature from 4.0 L into an evacuated vessel, until…

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