Question

The Vander wall's equation for $\left(\frac{1}{2}\right)$ mole of a gas?

• A. $(P+\frac{a}{V^2})(V-b)=RT$
• B. $(P+\frac{a}{4V^2})(V-\frac{b}{2})=\frac{RT}{2}$
• C. $(P+\frac{a}{4V^2})\left(\frac{V-b}{2}\right)=RT$
• D. $(P+\frac{a}{4V^2})\left(\frac{V-b}{2}\right)=2RT$

Answer 1

Answer: (B)

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

$(P+\frac{a{n}^2}{V^2})(V-nb)=nRT$ is the Vanderwaal's Equation

Here n = $\frac{1}{2}$ , Substituting the value

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