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# A woman finds the front windshield of her car covered with iceat -10.6°C. The ice has athickness of 4.70 10-4 m,and the windshield has an area of 1.25 m2. The densityof ice is 917 kg/m3. How much heat is required to meltthe ice?Does anybody know how to do this?

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asked 2021-01-31

A woman finds the front windshield of her car covered with iceat -10.6°C. The ice has athickness of $$4.70 10^{-4}$$ m,and the windshield has an area of 1.25 m2. The densityof ice is $$917 kg/m^3$$. How much heat is required to meltthe ice?
Does anybody know how to do this?

## Expert Answers (1)

2021-02-01
Amount of heat required to melt the ice = mc?? +ml
Specific heat capacity of ice, c = 2100J/kg K
specific latent heat of fusion of ice = 336 000J/kg
Volume of ice = $$\displaystyle{4.7}\times{10}^{{-{4}}}\times{1.25}={5.875}\times{10}^{{-{4}}}{m}^{{{3}}}$$
mass of ice = density * volume = $$\displaystyle{5.875}\times{10}^{{-{4}}}\times{917}={0.5387}{k}{g}$$
Amount of heat required $$\displaystyle={0.5387}\times{2100}\times{\left({10.6}-{0}\right)}+{0.5387}\times{336}{000}={193000}{J}$$

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