Question

A flask contains 100cc of a liquid at 10°c.when it is heated to 110°c increase in volume of the liquid appears to be 2cc.Find the coefficient of real expansion of the liquid & coefficient of apparent expansion of liquid​

Answer 1

Answer:

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Explanation:

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Answer 2

The coefficient of real expansion of the liquid & coefficient of apparent expansion of liquid​ is $2.33\times 10^{-4}\ /^oC$  and $2\times 10^{-4}\ /^oC$ .

Formula to find the coefficient of apparent expansion of the liquid is :

$\gamma_a=\dfrac{V_2-V_1}{V_1(T_2-T_1)}$

Here , every sign have their usual meaning .

Putting all given values in above equation we get ,

$\gamma_a=\dfrac{2}{100\times (110-10)}\\\\\gamma_a=\dfrac{2}{100\times 100}\\\\\gamma_a=2\times 10^{-4}\ /^oC$

Now, formula to find the coefficient of real expansion of the liquid is :

$\gamma_r=\gamma_a+3\alpha$

Here , $\alpha$ for flask is $11\times 10^{-6}\ / ^oC$ .

Putting value of $\alpha\ and\ \gamma_a$ in above equation .

We get ,

$\gamma_r=2\times 10^{-4}+3\times11\times 10^{-6}\\\\\gamma_r=2.33\times 10^{-4}\ /^oC$

Hence , this is the required solution .

Learn More :

Thermodynamics

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