A brick is initially 10.00 cm high and an aluminum can is initially 10.01 cm hig

Question

A brick is initially 10.00 cm high and an aluminum can is initially 10.01 cm high. By how much must their temperatures be raised in order for the brick and the can to have exactly the same height? Coefficients of thermal expansion of the brick and aluminum are 1 * 10^-5 C^-1 and 2.4 *10^-5 C^-1 respectively. Answer has to be in celsius. PLEASE be clear and show work:)

Explanation / Answer

thermal expansion: ?l/l = a?T (a= coeff of thermal expansion) for the brick to reach the same height as aluminium can, it has to rise by 0.01 cm more than the rise of aluminium can,hence: (10/100)*10-5*?Tbirck= (10.01/100)*2.4*10-5*?TAlcan => ?Tbirck/?TAlcan = 10.01*2.4/10 Now,if we auume the initial temperature to be standard room temperatue (25 degree celcius). we get the required answer.Thanks

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