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

`\gamma = 2.97 * 10^(-5) per ^0 C`

Step-by-step 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 = (\Delta V)/(V_0 \Delta T)`

now plug in all values

`\gamma = (2.25 cm^3)/((541 cm^3)(273 - 133))`

`\gamma = 2.97 * 10^(-5) per ^0 C`