Question

The temperature of an aluminum disk is increased by 240 degrees celcius. By what percentage does...

The temperature of an aluminum disk is increased by 240 degrees celcius. By what percentage does its volume increase?
delta V/V = __________%
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Answer #1
Concepts and reason

The concept which is used to solve the problem is Thermal expansion.

Initially, write the expression for volume change of a substance on heating. Later, rearrange the equation for fraction change in volume. Finally, solve for the percentage increase in volume of the disk on heating.

Fundamentals

The expression for the volume expansion or change in volume (AV
) of a substance on heating is,

AV BVAT

Here, В
is the coefficient of volume expansion, is the initial volume of the substance, and АТ
is the change in temperature.

Expression for the volume expansion or change in volume is,

AV BVAT

Rewrite the equation AV BVAT
for AV
to calculate the increase in volume.

AV
BAT

The percentage increase in the volume of the disk is,

AV
100 (BAT)100%

Substitute 69x10 C
for В
and 240 C
for АТ
.

100-(69x10c)(240C)100%
=1.65%

Therefore, the percentage increase in the volume of the disk is1.65%
.

Ans:

Therefore, the percentage increase in the volume of the disk is1.65%
.

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