The linear expansivity of brass is 2.0 \times 10\(^{−5}\) C\(^{−1}\). If the volume of a cube of brass is 12.00 cm\(^3\) at 0 ºC, what is the volume at 80 ºC?
A
12.06 cm\(^3\)
B
1.211cm\(^3\)
C
12.11cm\(^3\)
D
120.06cm\(^3\)
Verified Correct Answer: A.
Physical Principles & Numerical Solution
Volume expansivity γ = 3 \alpha = 3 \times 2.0 \times 10\(^{−5}\) = 6.0 \times 10\(^{−5}\) C\(^{−1}\)\
Volume change:
\DeltaV = V\(_0\)γ\Delta\theta = 12.00 \times 6.0 \times 10\(^{−5}\) \times 80 = 0.0576 cm\(^3\)
New volume = 12.00 + 0.0576 = 12.0576 ≈ 12.06 cm\(^3\)
Source: Myschool Past Questions Archive (Record #78274)