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
- 16.03cm\(^3\)
-
15.09cm\(^3\)
- 16.00cm\(^3\)
- 15.03cm\(^3\)
The correct answer is: B
Explanation
Volume Expansivity \(\gamma\) = \(3\alpha\)
\(\gamma = 3 \times 2\times10^{-5}\)
\(\gamma = 6\times10^{-5}C^{-1}\)
\(V_{2} = V_{1}(1 + \gamma\theta)\)
\(V_{2} = 15( 1 + (6\times10^{-5}\times(100-0)))\)
\(V_{2} = 15(1.006)\)
= \(15.09cm^{3}\)
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