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Ex Radius

Order of magn...

Question

Order of magnitude of work is :

w_{1} > w_{2} > w_{3}

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w_{3} > w_{2} > w_{1}

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w_{2} > w_{3} > w_{1}

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w_{1} = w_{2} = w_{3}

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Solution

The correct option is C $w_{2} > w_{3} > w_{1}$
$w_{1}$ is:
$w = - n R T l n \frac{V_{f}}{V_{i}} = - P_{i} V_{i} \times l n \frac{0.8}{8} = 36.8$
$w_{2}$ is:
$w = - P_{e x t} Δ V = - 20 (.08 - 8) = 144$
$w_{3}$ is
$w = - P_{e x t} Δ V = - 10 (1.6 - 8) - 20 (0.8 - 1.6) = 80$
So, order is $w_{2} > w_{3} > w_{1}$

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