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Q#1 Solution Thermodynamics GATE CH 2024 NAT +1 mark -0 marks

Consider a binary mixture of components 𝐴 and 𝐵 at temperature 𝑇 and pressure 𝑃.  Let \(V_A\) and\(V_B\) be the partial molar volumes of 𝐴 and 𝐵, respectively. At a certain mole fraction of 𝐴, \(x_A\)

\(\begin{align*} \left(\frac{\partial \bar{V}_A}{\partial x_A}\right)_{T,P} = 22 \text{ cm}^3 \text{ mol}^{-1} \quad \text{and} \quad \left(\frac{\partial \bar{V}_B}{\partial x_A}\right)_{T,P} = -18 \text{ cm}^3 \text{ mol}^{-1} \end{align*}\)

The value of \(x_A\), rounded off to 2 decimal places, is ________

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