A mass m of steam at 130º C is used to warm 200 gm of water from 20º C to 50º C.  Write an expression in terms of mass, m, for the heat lost by the steam as it cools to its boiling point.  Write an expression in terms of mass, m, for the heat lost as the water condenses from the steam and then cools to the final equilibrium temperature of 50º C. Then calculate the amount of heat gained by the water, Q gained, raising its temperature from 20º C to 50º C and find the initial mass of the steam needed to complete this process as described.

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Chapter1: Units, Trigonometry. And Vectors
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A mass m of steam at 130º C is used to warm 200 gm of water from 20º C to 50º C. 

Write an expression in terms of mass, m, for the heat lost by the steam as it
cools to its boiling point.  Write an expression in terms of mass, m, for the heat lost as the water
condenses from the steam and then cools to the final equilibrium temperature of
50º C. Then calculate the amount of heat gained by the water, Q gained, raising its
temperature from 20º C to 50º C and find the initial mass of the steam needed to complete this process as
described.

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