Use the relation dW = - p dV to show that: (a) The work done in an isothermal expansion of N moles of an ideal gas from initial volume Vi to the final volume Vf is: Work = - NRT ln(Vf /Vi ) . (b) For 1 mol of an ideal gas, calculate the work done in an isothermal expansion of 1 mol from Vi =10.0 L to Vf = 20.0 L at temperature T = 350 K.

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Use the relation dW = - p dV to show that:

(a) The work done in an isothermal expansion of N moles of an ideal gas from initial volume Vi to the final volume Vf is: Work = - NRT ln(Vf /Vi ) .

(b) For 1 mol of an ideal gas, calculate the work done in an isothermal expansion of 1 mol from Vi =10.0 L to Vf = 20.0 L at temperature T = 350 K.

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