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^\circC, what is the volume at 100^\circC
A
16.03cm\(^3\)
B
15.09cm\(^3\)
C
16.00cm\(^3\)
D
15.03cm\(^3\)
Verified Correct Answer: B.
Physical Principles & Numerical Solution
Volume Expansivity \(\gamma\) = \(3\alpha\)
\(\gamma = 3 \times 2\times10^{-5}\)
\(\gamma = 6\times10^{-5}C^{-1}\)
\(V_{2} = V_{1}(1 + \gamma\theta)\)
\(V_{2} = 15( 1 + (6\times10^{-5}\times(100-0)))\)
\(V_{2} = 15(1.006)\)
= \(15.09cm^{3}\)
Source: Myschool Past Questions Archive (Record #47399)