The Vander Waals equation for 0.5 mol of a g | vedclass

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(B) The general Vander Waals equation for $n$ moles of a gas is given by: $\left( P + \frac{an^2}{V^2} \right) \left( V - nb \right) = nRT$ Substituti

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$\left( P + \frac{a}{4V^2} \right) \left( 2V - b \right) = RT$

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(B) The general Vander Waals equation for $n$ moles of a gas is given by: $\left( P + \frac{an^2}{V^2} \right) \left( V - nb \right) = nRT$ Substituting $n = 0.5 = \frac{1}{2}$ mol into the equation: $\left( P + \frac{a(1/2)^2}{V^2} \right) \left( V - \frac{b}{2} \right) = \frac{1}{2} RT$ $\left( P + \frac{a}{4V^2} \right) \left( V - \frac{b}{2} \right) = \frac{RT}{2}$ Multiplying both sides by $2$: $\left( P + \frac{a}{4V^2} \right) \left( 2V - b \right) = RT$

The Vander Waals equation for $0.5 \ mol$ of a gas is:

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