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A sufficient amount of pure copper is to be heated for casting alarge plate in a

ID: 1815564 • Letter: A

Question

A sufficient amount of pure copper is to be heated for casting alarge plate in an open mold. The plate has these dimensions:lenght=20in, width=10in, thickness=3in. Compute the amount of heatthat must be added to the metal to heat it to a temperature of2150F for pouring. Assume that the amount of metal heated will be10% more than what is needed to fill the mold cavity. Properties ofthe metal are density: density=0.324 lbm/in3, M.P=1981F,specific heat of the metal=0.093 Btu/lbm-F in the liquid state, andheat of fusion =80Btu/lbm.

Explanation / Answer

Given: length=20in, width=10in, thickness=3in density=0.324 lbm/in3, M.P=1981F, specific heat of the metal=0.093 Btu/lbm-F in the liquid state, heat of fusion =80Btu/lbm volume v =20*10*3 volume v =600 in3 given that the amount of metal heated will be 10% more than what isneeded to fill the mold cavity so volume of liquid V= 1.1*v volume of liquid V= 1.1*600 volume of liquid V= 660 in3 Heat required = V**[80+(2150-1981)*0.093] Heat required = 660*0.324*[80+(2150-1981)*0.093] Btu Heat required = 20468.1 Btu

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