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Enthalpy

Calculate Q...

Question

Calculate $Q, w, Δ U, Δ H$ for the isothermal reversible expansion of $1$ mole of an ideal gas from an initial pressure of $1.0$ bar to a final pressure of $0.1$ bar at a constant temperature of $273 K$ .

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Solution

In isothermal process as temperature remains constant both $Δ U, Δ H$ are zero

Applying first law of thermodynamics,

$Δ U = w + Q$
or $Q = - w = - 2.303 n R T log (\frac{P_{1}}{P_{2}})$

$= - 2.303 \times 1 \times 8.314 \times 273 log \frac{1}{0.1} = - 5.227 k J$

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