A copper pipe has an original length of 5 metre... - SS1 Physics Heat and Thermodynamics Question
A copper pipe has an original length of 5 metres at 25°C. If the coefficient of linear expansion for copper is 16 x 10-6 /°C, what temperature change is required for the pipe to increase its length by 1 centimetre?
Change in length = (coefficient of linear expansion) x (original length) x (change in temperature)
Change in length = (16 x 10-6 /°C) x (5 metres) x (change in temperature)
Change in length = 0.00008 x (change in temperature)
Given that the change in length is 1 centimetre = 0.01 metres, we can solve for the change in temperature:
0.00008 x (change in temperature) = 0.01 metres
(change in temperature) = 0.01 metres / 0.00008
(change in temperature) = 125°C
Therefore, a temperature change of 125°C is required for the copper pipe to increase its length by 1 centimetre.
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