Question #98807

Show that during the expansion of a quantity of gas according to the law PV^n = constant,the heat energy transfer Q and W are connected by the expression

Q={r - n/r - 1}W .

Q={r - n/r - 1}W .

Expert's answer

The work during that process can be expressed as

According to the first law of thermodynamics, for a gas with degrees of freedom of molecules "i" we can write:

"Q=\\Delta U+W=\\frac{i}{2}\\frac{m}{\\mu}R\\Delta T+\\frac{p_bV_b-p_aV_a}{n-1}."Since

"pV=\\frac{m}{\\mu}RT,"we can now write that

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