If you pour 1kg of water (a liter), initially at 70°C, onto a snowdrift (a large

Question

If you pour 1kg of water (a liter), initially at 70°C, onto a snowdrift (a large amount of ice at 0°C), how many kilograms of snow will you be able to melt? For this quiz, take the specific heat of water to be 4 kJ/kg•K, and the latent heat of fusion of water-ice to be 300 kJ/kg.

If, on one of our colder winter days, you left a waterbotte with 1.0 kg of water (one liter) in your car outside, the water might actually cool to -10.0°C while remaining a liquid - it supercools! (which is, of course, super cool) If you disturb the bottle by dropping it, you might start the freezing process - which will actually warm the water to 0.0°C, while turning a fraction of the water into ice in the process. In this example, roughly how much of the water should turn into ice as the water warms? For this quiz, take the specific heat of water to be 4 kJ/kg•K, and the latent heat of fusion of water-ice to be 300 kJ/kg.

If an ideal blackbody at a temperature of 15°C (cool to the touch) radiates energy at a rate of 100W, at what rate would it radiate energy at if the temperature were to increase to 30°C (pleasantly warm12)?

Explanation / Answer

use,

heat lost=heat gain

m_water*C_water*dT=m_ice*L_fusion

1*4*10^3*(70-0)=m_ice*300*10^3

===>

m_ice=0.93 kg

the amount of ice melts, m_ice=0.93 kg

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