Q17: The coefficient of linear expansion of steel is a = 11 x 10-6 / °C. A steel ball has a volume of exactly 100 cm3 at 0°C. When heated to 100°C, its
volume becomes in (cm3):
A
B
D
E
100.33
100.11
100.0011
100.0033
None of them

Solution:

The coefficient of volume expansion

p = ΔV/V1Δt

3a = V2-V1/V1Δt

Given

a = = 11 x 10-6 / °C

V2 is the final volume

V1 is the initial volume = 100cm³

Δt = 100-0 = 100°C

Substitute

3(11 x 10-6) = V2-100/100(100)

33*10^-6 * 10000 = V2-100

33*10^-2 = V2-100

V2 = 100 + 0.33

V2 = 100.33

Hence the new volume is 100.33cm³

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