A window of a car is found to be covered with 0.9cm of ice. If the...

A window of a car is found to be covered with 0.9cm of ice. If the area of the window is 1 m2, and the ice is at -12 degrees Celsius, what is the minimum heat required to melt all the ice? Take the density of ice to be 900 kg/m3, the specific heat capacity of ice to be 0.5 cal/g*K, and the latent heat of fusion to be 80 cal/g. Answer in kcal.

Solutions

Expert Solution

density = mass/volume

volume of the ice on the car window = height*area = 0.009m*1 = 9.0*10^-3

mass = 900*9.0*10^-3 = 8.1 kg

q = m*S*DT

q = 8100*0.5*(0+12)

q = 48600

heat of fusion = mass* latent heat = 8100*80 = 648000 cal

heat required to supply is = q +latent heat of fusion

= 48600 + 648000

= 696600 cal

= 696.6 K cal

queen_honey_blossom answered 1 year ago

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