To determine The minimum mass of ice that could be added to the water in Example 17.4 to end up with a final temperature of 0 ° C . Explanation Write the equation for the energy needed to heat the ice from − 10 ° C to 0 ° C . Q 1 = m ice c ice ( T f ice − T i ice ) (I) Here, Q 1 is the energy needed to heat the ice, m ice is the mass of the ice, c ice is the specific heat capacity of ice, T f ice is the final temperature of ice, T i ice is the initial temperature of ice. The specific heat capacity of ice is 2050 J/kg ⋅ K . Write the equation for the energy needed to melt the ice. Q 2 = m ice L f (II) Here, Q 2 is the energy required to melt the ice , L f is the latent heat of fusion. The value of latent heat of fusion of ice is 334 kJ/kg . Write the equation for the energy required to warm up the newly melted water to the equilibrium temperature. Q 3 = m ice c water ( T − T i ′ water ) (III) Here, Q 3 is the heat energy required to warm up the newly melted water to the equilibrium temperature, c water is the specific heat capacity of water, T is the equilibrium temperature, T i ′ water is the initial temperature of the melted water The energy of the water is used for the transition of the ice at − 10 ° C to water at equilibrium temperature. Q = Q 1 + Q 2 + Q 3 (IV) Here, Q is the energy lost from water. Write the equation for the energy lost from water. Q = m water c water ( T 0 water − T ) (V) Here, m water is the mass of water, T 0 water is the initial temperature of water. Use equations (I) and (II) in equation (III) and (V) in equation (IV), m water c water ( T 0 water − T ) = Q 1 + Q 2 + m ice c water ( T − T i ′ water ) (VI) Rewrite the above equation for T . T = m water c water T 0 water + m ice c water T i ′ water − Q 1 − Q 2 ( m ice + m water ) c water (VII) The specific heat capacity of water is 4184 J/kg ⋅ K . Conclusion: Substitute 66 g for m ice , 2050 J/kg ⋅ K for c ice , 0 ° C for T f ice and − 10 ° C for T i ice in the above equation to find Q 1

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ISBN: 9780136780984

Author: Wolfson

Publisher: PEARSON

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Chapter 17, Problem 31E

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The minimum mass of ice that could be added to the water in Example 17.4 to end up with a final temperature of 0°C.

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Chapter 17, Problem 30E

Chapter 17, Problem 32E

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Chapter 17 Solutions

ESSENTIAL UNIV.PHYS.-MOD.MASTERING(18W)

Ch. 17.1 - If you double the kelvin temperature of a gas,...Ch. 17.2 - You bring a pot of water to boil and then forget...Ch. 17.3 - The figure shows a donut-shaped object. If its...Ch. 17 - Prob. 1FTD Ch. 17 - Why are you supposed to check tire pressure when...Ch. 17 - The average speed of the molecules in a gas...Ch. 17 - Suppose you start running while holding a closed...Ch. 17 - Prob. 5FTD Ch. 17 - Whats the temperature of water just under the ice...Ch. 17 - Ice and water have been together in a glass for a...

Ch. 17 - Which takes more heat: melting a gram of ice...Ch. 17 - The triple point of water defines a precise...Ch. 17 - A bimetallic strip consists of thin pieces of...Ch. 17 - Marss atmospheric pressure is about 1% that of...Ch. 17 - Prob. 12E Ch. 17 - Whats the pressure of an ideal gas if 3.5 mol...Ch. 17 - Prob. 14E Ch. 17 - (a) If 2.0 mol of an ideal gas are initially at...Ch. 17 - A pressure of 1010 Pa is readily achievable with...Ch. 17 - In which gas are the molecules moving faster:...Ch. 17 - How much energy does it take to melt a 65-g ice...Ch. 17 - It takes 200 J to melt an 8.0-g sample of one of...Ch. 17 - If it takes 840 kJ to vaporize a sample of liquid...Ch. 17 - Carbon dioxide sublimes (changes from solid to...Ch. 17 - Prob. 22E Ch. 17 - You have exactly 1 L of ethyl alcohol at room...Ch. 17 - A Pyrex glass marble is 1.00000 cm in diameter at...Ch. 17 - At 0C, the hole in a steel washer is 9.52 mm in...Ch. 17 - Suppose a single piece of welded steel railroad...Ch. 17 - Example 17.1: Typical atmospheric pressure at the...Ch. 17 - Prob. 28E Ch. 17 - Prob. 29E Ch. 17 - Prob. 30E Ch. 17 - Example 17.4: Repeal the calculation of Example...Ch. 17 - When 200 g of ice at –10°C are added to 1.0 kg of...Ch. 17 - Example 17.4: A mountain glacier ends in a small...Ch. 17 - Prob. 34E Ch. 17 - Prob. 35P Ch. 17 - Prob. 36P Ch. 17 - A compressed air cylinder stands 100 cm tall and...Ch. 17 - Youre a lawyer with an unusual case. A...Ch. 17 - A 3000-mL flask is initially open in a room...Ch. 17 - The recommended treatment for frostbite is rapid...Ch. 17 - A stove burner supplies heat to a pan at the rate...Ch. 17 - If a 1-megaton nuclear bomb were exploded deep in...Ch. 17 - Prob. 43P Ch. 17 - Prob. 44P Ch. 17 - A refrigerator extracts energy from its contents...Ch. 17 - Climatologists have recently recognized that black...Ch. 17 - How much energy does it take to melt 10 kg of ice...Ch. 17 - Water is brought to its boiling point and then...Ch. 17 - Prob. 49P Ch. 17 - A bowl contains 16 kg of punch (essentially water)...Ch. 17 - A 50-g ice cube at 10C is placed in an equal mass...Ch. 17 - Prob. 52P Ch. 17 - What power is needed to melt 20 kg of ice in 6.0...Ch. 17 - You put 300 g of water at 20C into a 500-W...Ch. 17 - Prob. 55P Ch. 17 - Describe the composition and temperature of the...Ch. 17 - A glass marble 1.000 cm in diameter is to be...Ch. 17 - Prob. 58P Ch. 17 - A steel ball bearing is encased in a Pyrex glass...Ch. 17 - Fuel systems of modern cars are designed so...Ch. 17 - A rod of length L0 is clamped rigidly at both...Ch. 17 - Prob. 62P Ch. 17 - A solar-heated house stores energy in 5.0 tons of...Ch. 17 - Show that the coefficient of volume expansion of...Ch. 17 - Waters coefficient of volume expansion in the...Ch. 17 - When the expansion coefficient varies with...Ch. 17 - A 50-mL graduated cylinder is made from Pyrex...Ch. 17 - The timekeeping of a grandfather clock is...Ch. 17 - Prob. 69P Ch. 17 - Prob. 70P Ch. 17 - Figure 17.12 shows an apparatus used to determine...Ch. 17 - Prob. 72P Ch. 17 - (a) Show that, for an ideal gas, the speed of...Ch. 17 - The Maxwell-Boltzmann distribution, plotted in...Ch. 17 - At high gas densities, the van der Waals equation...Ch. 17 - Prob. 76PP Ch. 17 - Prob. 77PP Ch. 17 - Because some pathogens can survive 120C...Ch. 17 - Prob. 79PP

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