a)Consider Joule\'s experiment described in the insight below.Assume the mass m

Question

a)Consider Joule's experiment described in the insight below.Assume the mass m = 1.2 kg andthe fluid is water with a volume of 1.57L. What is the increase in the temperature of the water when themass moves vertically a distance z = 1.33 m?
1K b)An ice cube of volume 4.2 cm3 is initially at a temperature of-20.6°C. How much heat is required toconvert this ice cube into steam?
b)An ice cube of volume 4.2 cm3 is initially at a temperature of-20.6°C. How much heat is required toconvert this ice cube into steam?

Explanation / Answer

mass of water = 1570 grams   . energy lost by falling mass = m g h =   1.2 * 9.80 *1.33 =   15.6408 Joules . energy gained by water  =   m cT .     15.6408   =   1570 *4.186 * T .    T = 0.00238 K . (b)   4.2 cm3 of iceis    4.2 * 0.917 =   3.8514 grams of ice heat required =   heat to increase temp ofice + heat to melt ice + heat to inc temp ofwater + heat to vaporize water .                         =    m c T   +     mL         +    m cT        +   m L .                        = 3.8514 * 2.09 * 20.6 + 3.8514 * 333  +   3.8514 * 4.186 * 100   + 3.8514 *2260 = .                        = 11765 Joules

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