Question

You heat a 571 cm sample of a substance from 139°C to 291°C and find that its volume increases by 2.17 cm. Calculate the coefficient of volume expansion of this substance. Number 23* 10 -5 (Co)--

Answer 1

Use the formula $\Delta V=\beta* V_{0}*\Delta T$ , where

$\Delta V$ is the change in volume,

$\beta$ is the coefficient of volume expansion,

$V_{0}$ is the original volume and

$\Delta T$ is the change in temperature.

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$\Delta V=\beta* V_{0}*\Delta T$

$2.17cm^{3}=\beta* 571cm^{3}*(291^{\circ}C-139^{\circ}C)$

$2.17=\beta* 571*152$

$\frac{2.17}{571*152}=\beta$

ANSWER: ${\color{Red} \beta=2.5*10^{-5}(^{\circ}C)^{-1}}$

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