I've been trying to tackle the following problem, but I can't seem to get it right.(adsbygoogle = window.adsbygoogle || []).push({});

An ideal monatomic gas expands quasi-statically to twice its volume. If the process is isothermal, the work done by the gas is W_i. If the process is adiabatic, the work doen by the gas is W_a. Show that 0 < W_a < W_i.

For isothermal processes I have

[tex]

W_i = \int_{v_i}^{v_f} \frac{nRT}{V}dV = nRT ln(2)

[/tex]

For adiabatic processes I have

[tex]

W_a = k \int_{v_i}^{v_f} \frac{dV}{V^{\gamma}}

[/tex]

Where do go from this point?

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# Work on expanding gasses

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