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A copper cylinder

發問:

A copper cylinder is initially at 20 degree Celsius. At what temperature will its volume be 0.150% larger than it is at 20 degree Celsius? ans: 49.4 degree Celsius

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Take the coefficient of linear expansion of copper = 17 x 10^-6 K^-1 Hence, coefficient of volume expansion = 3 x 17 x10^-6 K^-1 = 51 x10^-6 K^-1 Fractional increase in volume of copper cylinder = 0.15/100 = 0.0015 Hence, 0.0015 = (51x10^-6).T where T is the rise in temperature i.e. T = 29.4 'C The final temperature of the cylinder = (20 + 29.4)'C = 49.4'C

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