Uncategories Heat and Thermodynamics :: Problem 9

Heat and Thermodynamics :: Problem 9

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Problem 9: Find the change in volume of an aluminium sphere of 0.4m radius when it is heated from 0oC to 100oC.

Solution:

Step: 1 Overview

See the overview of problem 2.

Step: 2 Calculation

Given:
r=0.4m
T1=0oC
T2=100oC
ΔT=100-0=100oC
β (for aluminium)= 7.2x10-5
Solutions:
We know that:
Volume of sphere = 4.19r3
V = 4.19(0.4)3
V = 4.19(0.064)
V = 0.26816
Also we know that:
ΔV = βVΔT
ΔV = (7.2x10-5)(0.26816)(100)
ΔV = 0.00193m3 (Ans)
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