Question

You heat a 541cm^3 sample of a substance from 133°C to 273°C and find that its volume increases by 2.25 cm^3. Calculate the coefficient of volume expansion of this substance.

Answer 1

Answer:

$\gamma = 2.97 \times 10^{-5} per ^0 C$

Explanation:

As we know by the theory of expansion the change in the volume of the object is directly proportional to change in temperature and initial volume.

So here we can say

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

here

$\gamma$ = coefficient of volume expansion

so we have

$\gamma = \frac{\Delta V}{V_0 \Delta T}$

now plug in all values

$\gamma = \frac{2.25 cm^3}{(541 cm^3)(273 - 133)}$

$\gamma = 2.97 \times 10^{-5} per ^0 C$