You are heating 310 mL of water to make tea; however, you forget the pot on the stove, and all of the water boils away. All of the steam quickly condenses onto the plastic shelf that hangs above the stove. The shelf is initially at 20°C, and heats uniformly to 33°C after all the steam condenses into water on it. The specific heat of water is 4190 J/kg K and that of plastic is 1670 J/kg K. The latent heat of fusion of water is 3.33x105 J/kg and the heat of vaporization of water is 22.6x105 J/kg. The density of water is 1000 kg/m³, and 1 mL = 10-6 m³. Your kitchen is at sea level. What is the mass of the shelf? Assume that no energy is lost to the environment.

University Physics Volume 2
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ISBN:9781938168161
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Chapter1: Temperature And Heat
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Problem 83P: To help prevent frost damage, 4.00 kg of water at 0 is sprayed onto a fruit tree. (a) How much heat...
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You are heating 310 mL of water to make tea; however, you forget the pot on the
stove, and all of the water boils away. All of the steam quickly condenses onto the
plastic shelf that hangs above the stove. The shelf is initially at 20°C, and heats
uniformly to 33°C after all the steam condenses into water on it. The specific heat of
water is 4190 J/kg K and that of plastic is 1670 J/kg K. The latent heat of fusion of
water is 3.33×105 J/kg and the heat of vaporization of water is 22.6x105 J/kg. The
density of water is 1000 kg/m3, and 1 mL = 10-6 m³. Your kitchen is at sea level.
What is the mass of the shelf? Assume that no energy is lost to the environment.
Transcribed Image Text:You are heating 310 mL of water to make tea; however, you forget the pot on the stove, and all of the water boils away. All of the steam quickly condenses onto the plastic shelf that hangs above the stove. The shelf is initially at 20°C, and heats uniformly to 33°C after all the steam condenses into water on it. The specific heat of water is 4190 J/kg K and that of plastic is 1670 J/kg K. The latent heat of fusion of water is 3.33×105 J/kg and the heat of vaporization of water is 22.6x105 J/kg. The density of water is 1000 kg/m3, and 1 mL = 10-6 m³. Your kitchen is at sea level. What is the mass of the shelf? Assume that no energy is lost to the environment.
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The specific heat (C) and latent heat (L) of a substance of mass (m) that absorbs heat (Q) and its temperature changes by (ΔT) or absorbs heat (Q’) and its phase changes may be expressed as follows:

 

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