(a) Explanation Given data: Refer to the Problem 2 in the textbook for the required data. From Problem 2, depth of the water ( h ) is 12.7 cm, which is written as 0.127 m. Dimension of the parking lot is given as 24.5 m × 33 .8 m . From the parking lot dimensions, the length of the parking lot ( l ) is 24.5 m. Width of the parking lot ( w ) is 33.8 m. Formula used: Write the expression for heat of fusion as follows. L f = Q m (1) Here, Q is the quantity of heat required for the fusion of ice, and m is the mass of the water. Write the expression for mass density of the water as follows. D m = m V (2) Here, m is the mass of the water in the parking lot, and V is the volume of the water in the parking lot. Write the expression for volume of the water in the parking lot as follows. V = l w h (3) Here, l is the length of the parking lot, w is the width of the parking lot, and h is the depth of the water in the parking lot. Calculation of quantity of heat required to change the water into solid block of ice ( Q ) : Rearrange the expression in equation (2) for the mass of the water in the parking lot as follows. m = D m V From equation (3), substitute ( l w h ) for V as follows. m = D m l w h (4) Rearrange the expression in equation (1) to find the quantity of heat required to change the water into solid ice block as follows. Q = m L f From equation (4), substitute ( D m l w h ) for m as follows. Q = ( D m l w h ) L f (5) Refer to the Table 15 in Appendix C for heat of fusion for the ice. From the table, the heat of fusion for the ice is 80 k cal / kg . L f = 80 k cal / kg Refer to the Table 12 (b) To determine Calculate the total quantity of energy required to change the water at 4.30 ° C to ice at 0.00 ° C . (c) To determine Calculate the amount of addition heat to be removed to change the ice at 0.00 ° C to ice at − 3.43 ° C .

11th Edition

ISBN: 9780132719865

Author: EWEN, Dale

Publisher: PEARSON

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Question

Chapter 14, Problem 3AC

(a)

To determine

Calculate the quantity of heat of fusion required for the water in Problem 2 to be changed into solid block.

(b)

To determine

Calculate the total quantity of energy required to change the water at 4.30°C to ice at 0.00°C.

(c)

To determine

Calculate the amount of addition heat to be removed to change the ice at 0.00°C to ice at −3.43°C.

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Chapter 14, Problem 2AC

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Calculate the quantity of heat of fusion required for the water in Problem 2 to be changed into solid block.

Solution Summary: The author explains how to calculate the quantity of heat of fusion required for the water in Problem 2 to be changed into solid block.

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Calculate the quantity of heat of fusion required for the water in Problem 2 to be changed into solid block.

Calculate the total quantity of energy required to change the water at 4.30°C to ice at 0.00°C.

Calculate the amount of addition heat to be removed to change the ice at 0.00°C to ice at −3.43°C.

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