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The linear expansivity of brass is 2 x 10\(^{-5}\) C\(^{-1}\). If the volume of a...

Physics
JAMB 2018

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. 16.03cm\(^3\)
  • B. 15.09cm\(^3\)
  • C. 16.00cm\(^3\)
  • D. 15.03cm\(^3\)
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Correct Answer: Option B
Explanation

Volume Expansivity \(\gamma\) = \(3\alpha\)

\(\gamma = 3 \times 2\times10^{-5}\)

\(\gamma = 6\times10^{-5}C^{-1}\)

\(V_{2} = V_{1}(1 + \gamma\theta)\)

\(V_{2} = 15( 1 + (6\times10^{-5}\times(100-0)))\)

\(V_{2} = 15(1.006)\)

= \(15.09cm^{3}\)

There is an explanation video available below.


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Explanation Video

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