Part C If distilled water sells in a grocery store for $1.19 per gal. what peroentage of the sales price is represented by the cost of the energy? Express your answer using two significant figures. ? %

Introductory Chemistry: A Foundation
8th Edition
ISBN:9781285199030
Author:Steven S. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Donald J. DeCoste
Chapter10: Energy
Section: Chapter Questions
Problem 84AP
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Revie
The main reason that distillation is a costly method for purifying water is the high energy required
to heat and vaporize water.
Part A
Using the density, specific heat, and heat of vaporization of water from Appendix B in the textbook, calculate the amount of energy required to vaporize 1.00 gal of water beginning with water at 25 °C.
Express your answer using two significant figures.
E = 9700 kJ
Submit
Previous Answers
Correct
The volume of the water, given in gallons, must first be converted to grams using the density from the appendix.
3780 gal x 4g xIL x 1000 mL
1 gal * 1.057 qt
0.99707 g H2O
1 ml
1.43 x 107 g H20
1L
First, the water needs to be heated from 25 °C to 100 °C. The heat associated with this process is calculated using the specific heat of water from the appendix.
9 = mcAT
%3D
1.43 x 107 g H,0 x 4.184 J x (100°C – 25°C) x 1 kJ
g.°C
x (100°C — 25°С) х
1000 J
4.481 x 10° kJ
Once the water reaches 100 °C, it must then be vaporized. The heat associated with this process is then calculated using the heat of vaporization from the appendix.
9 = 1.43 x 107 g H20 x
1 mol H20
18.02 g H20
x 40.67 kJ
mol H20
= 3.223 x 107 kJ
The total amount of energy required is the sum of these two heat values.
4.481 x 10° kJ + 3.223 x 10' kJ
9700 kJ/gal Ha0
energy
Part B
If the energy is provided by electricity costing S0.087 /kwh, calculate its cost. (1 kwh
= 3.6 x 10® J)
Express your answer using two significant figures.
$ 0.23
Submit
Previous Answers
v Correct
The cost is calculated using the conversion factors given.
v $0.085
* kwh
9700 kJ x 1000 J x1 kwh
gal H.0 X
$0.23/gal
cost
kJ X
3.6x10° J
Transcribed Image Text:Revie The main reason that distillation is a costly method for purifying water is the high energy required to heat and vaporize water. Part A Using the density, specific heat, and heat of vaporization of water from Appendix B in the textbook, calculate the amount of energy required to vaporize 1.00 gal of water beginning with water at 25 °C. Express your answer using two significant figures. E = 9700 kJ Submit Previous Answers Correct The volume of the water, given in gallons, must first be converted to grams using the density from the appendix. 3780 gal x 4g xIL x 1000 mL 1 gal * 1.057 qt 0.99707 g H2O 1 ml 1.43 x 107 g H20 1L First, the water needs to be heated from 25 °C to 100 °C. The heat associated with this process is calculated using the specific heat of water from the appendix. 9 = mcAT %3D 1.43 x 107 g H,0 x 4.184 J x (100°C – 25°C) x 1 kJ g.°C x (100°C — 25°С) х 1000 J 4.481 x 10° kJ Once the water reaches 100 °C, it must then be vaporized. The heat associated with this process is then calculated using the heat of vaporization from the appendix. 9 = 1.43 x 107 g H20 x 1 mol H20 18.02 g H20 x 40.67 kJ mol H20 = 3.223 x 107 kJ The total amount of energy required is the sum of these two heat values. 4.481 x 10° kJ + 3.223 x 10' kJ 9700 kJ/gal Ha0 energy Part B If the energy is provided by electricity costing S0.087 /kwh, calculate its cost. (1 kwh = 3.6 x 10® J) Express your answer using two significant figures. $ 0.23 Submit Previous Answers v Correct The cost is calculated using the conversion factors given. v $0.085 * kwh 9700 kJ x 1000 J x1 kwh gal H.0 X $0.23/gal cost kJ X 3.6x10° J
Part B
If the energy is provided by electricity costing $0.087 /kwh, calculate its cost. (1 kwh = 3.6 x 10 J)
Express your answer using two significant figures.
$ 0.23
Submit
Previous Answers
Correct
The cost is calculated using the conversion factors given.
1000 J
9700 k.J
gal H20
1 kwh
3.6x10° J
$0.085
cost
kJ
kwh
$0.23/gal
Part C
If distilled water sells in a grocery store for $1.19 per gal. what percentage of the sales price is represented by the cost of the energy?
Express your answer using two significant figures.
%
Submit
Request Answer
Transcribed Image Text:Part B If the energy is provided by electricity costing $0.087 /kwh, calculate its cost. (1 kwh = 3.6 x 10 J) Express your answer using two significant figures. $ 0.23 Submit Previous Answers Correct The cost is calculated using the conversion factors given. 1000 J 9700 k.J gal H20 1 kwh 3.6x10° J $0.085 cost kJ kwh $0.23/gal Part C If distilled water sells in a grocery store for $1.19 per gal. what percentage of the sales price is represented by the cost of the energy? Express your answer using two significant figures. % Submit Request Answer
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