A rectangular metal block of volume 10-6m3 at 273k is heated to 573k. If its…

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: Option B
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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