Occasionally, huge icebergs are found floating on the ocean\'scurrents. Suppose

Question

Occasionally, huge icebergs are found floating on the ocean'scurrents. Suppose one such iceberg is 122 km long, 35.1 km wide,and 207 m thick. (a) How much heat in joules wouldbe required to melt this iceberg (assumed to be at 0 °C) intoliquid water at 0 °C? The density of ice is 917kg/m3. (b) The annual energyconsumption by the United States in 1994 was 9.3 x 1019J. If this energy were delivered to the iceberg every year, howmany years would it take before the ice melted?

Explanation / Answer

Occasionally, huge icebergs are found floating on the ocean'scurrents. Suppose one such iceberg is 122 km long, 35.1 km wide,and 207 m thick. (a) How much heat in joules wouldbe required to melt this iceberg (assumed to be at 0 °C) intoliquid water at 0 °C? The density of ice is 917kg/m3

mass of ice=122000*35100*207*917=8128429218*105kg

L of ice=3.36*105J/kg

so heatrequired=mL=812.8*1012*3.36*105=2731.0*1017J

. (b) The annual energy consumption by theUnited States in 1994 was 9.3 x 1019 J. If this energywere delivered to the iceberg every year, how many years would ittake before the ice melted?

time in years=2731.0*1017J/9.3 x 1019J.=2.9365years

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