Question

the volume of a liquid is 830 metre cube at 30 degree Celsius and it is 850 cube at 90 degree Celsius find the coefficient of volume expansion of the liquid​

Answer 1

The coefficient of volume expansion of the liquid​ is $0.33\ m^3\ T^{-1}$ .

Given :

Volume of a liquid is 830 meter cube at 30 degree Celsius and  850 meter cube at 90 degree Celsius .

So , $v_i=830\ m^3$ and $v_f=850\ m^3$ .

And , $T_i=30\ ^oC$ and $T_f=90\ ^oC$ .

We know , increase in volume and temperature is related as :

$\Delta\ V=\alpha\Delta\ T$

So , $\alpha=\dfrac{\Delta\ V}{\Delta\ T}$

Putting all these value we get ,

$\alpha=\dfrac{850-830}{90-30}\\\\\alpha=0.33\ m^3\ T^{-1}$

Hence , this is the required solution .

Learn More :

Thermodynamics

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Answer 2

The answer is 4 × 10 to the power -4