Volume expansivity of an ideal solution

1. Apr 19, 2014

Maylis

Hello,

I'm not sure if I'm approaching this the right way, but essentially I used the definition of volume expansivity and a result for the molar volume of an ideal solution to get my expression, so my result is that the claim is wrong. Am I going about this one correctly?

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Last edited: Apr 20, 2014
2. Apr 20, 2014

Maylis

Attempt

3. Apr 21, 2014

Staff: Mentor

It doesn't look like you did the math correctly.

$$V=n_1\overline{V_1}+n_2\overline{V_2}$$

$$\frac{dV}{dT}=n_1\frac{d\overline{V_1}}{dT}+n_2\frac{\overline{dV_2}}{dT}$$
$$\frac{1}{V}\frac{dV}{dT}=\frac{(n_1\frac{d\overline{V_1}}{dT}+n_2\frac{\overline{dV_2}}{dT})}{n_1\overline{V_1}+n_2\overline{V_2}}$$

$$β=\frac{(n_1\overline{V_1}β_1+n_2\overline{V_2}β_2)}{n_1\overline{V_1}+n_2\overline{V_2}}$$