For an isothermal process:

$\overline{){{\mathbf{P}}}_{{\mathbf{1}}}{{\mathbf{V}}}_{{\mathbf{1}}}{\mathbf{=}}{{\mathbf{P}}}_{{\mathbf{2}}}{{\mathbf{V}}}_{{\mathbf{2}}}}$

**(a)**

For an isothermal process, T_{2} = T_{1} = T

T_{2}/T_{1} = T/T = 1

A gas with initial state variables P_{1,}V_{1 }, and T_{1} expands isothermally until V_{2} = 2V_{1.}

(a) What is T_{2} in terms of T_{2}/T1?

(b) What is P_{2} in terms of P_{2}/P1?

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