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6. The world\'s largest piggy bank has a volume of 7.20mi, Suppose the bank is f

ID: 1883258 • Letter: 6

Question

6. The world's largest piggy bank has a volume of 7.20mi, Suppose the bank is filled with copper pennies and that the pennies occupy 80.0 percent of the bank's total volume. The density of copper is 8.92 x 10 kg/m3 a. Find the total mass of the coins in the piggy bank. b. Consider the mass found in (a). If these copper coins are brought to their melting point, how much energy must be added to the coins in order to melt 15 percent of their mass? The latent hear of fusion for copper is 1.34 x 105J/kg

Explanation / Answer

a) use, density = mass/volume

==> mass = density*volume

= 8.92*10^3*(0.8*7.2)

= 5.14*10^4 kg

b) use, Q = m*Lf

= 0.15*5.14*10^4*1.34*10^5

= 1.03*10^9 J