A rectangular metal block of volume 10 -6 m 3 at 273k is heated to

PHYSICSJAMB 1995

A rectangular metal block of volume 10-6m3 at 273k is heated to 573k. If its coefficient of linear expansion is 1.2 x 10-5k-1, the percentage change of it volume is

  • A. 1.5%
  • B. 1.1%
  • C. 0.4%
  • D. 0.1%

Correct Answer: B. 1.1%

Explanation

Y = \(\frac{\Delta V}{V \times \Delta \theta}\)

3 x 10-5 x 1.2 = \(\frac{\Delta\ V}{10^{-6}\times\ (573 - 273)}\)

\(\Delta\)V = 1080 x 10-11m3

%\(\Delta\)V = \(\frac{1080 \times\ 10}{10^{-6}}\) x 100

= 1.08%

\(\approx\) = 1.1%

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