Question

The apparent change in volume of liquid per 100 degree centigrade is 8 percent. find coefficient of apparent expansion of liquid

Answer 1

The apparent change in volume of liquid per 100°C is 8 %.

To find : the coefficient of expansion of liquid.

solution : we know, change in volume of a liquid of initial volume $V_0$ to raise the temperature ∆T is given by,

$\Delta V=V_0\gamma\Delta T$

a/c to question,

∆V = 8% of initial volume = $\frac{8V_0}{100}$

∆T = 100°C

so, $\frac{8V_0}{100}=V_0\gamma 100$

⇒$8\times10^{-2}=\gamma 100$

⇒γ = 8 × 10¯⁴/°C

Therefore the coefficient of expansion of liquid is 8 × 10¯⁴/°C

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