The linear expansivity of brass is 2 x 10−5 C−1. If the volume of a piece of brass is 15.00cm at 0°C, what is the volume at 100°C

The linear expansivity of brass is 2 x 10−5 C−1. If the volume of a piece of brass is 15.00cm at 0°C, what is the volume at 100°C
A. 16.03cm3
B. 15.09cm3
C. 16.00cm3
D. 15.03cm3

Correct Option: Answer is B

Volume Expansivity γ = 3α
γ=3×2×10−5
γ=6×10−5C−1
V2=V1(1+γθ)
V2=15(1+(6×10−5×(100−0)))
V2=15(1.006)
= 15.09cm3

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