4. How many milliliters of water at 23 °C with a density of 1.00 g/mL must be mixed with 180 mL (about 6 oz) of coffee at 95 °C so that the resulting combination will have a temperature of 60 °C? Assume that coffee and water have the same density and the same specific heat.

Chemistry
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Chapter1: Chemical Foundations
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It’s number 4! I don’t know how to solve it. If you can, thank you and please show the steps!!
**Student Name:**

**Problems:**

1. A burning match and a bonfire may have the same temperature, yet you would not sit around a burning match on a fall evening to stay warm. Why not?

2. How much would the temperature of 275 g of water increase if 36.5 kJ of heat were added?

3. A piece of unknown solid substance weighs 437.2 g, and requires 8460 J to increase its temperature from 19.3 °C to 68.9 °C.
   - (a) What is the specific heat of the substance?
   - (b) If it is one of the substances found in Table 9.1, what is its likely identity?

4. How many milliliters of water at 23 °C with a density of 1.00 g/mL must be mixed with 180 mL (about 6 oz) of coffee at 95 °C so that the resulting combination will have a temperature of 60 °C? Assume that coffee and water have the same density and the same specific heat.

5. A 45-g aluminum spoon (specific heat 0.88 J/g °C) at 24 °C is placed in 180 mL (180 g) of coffee at 85 °C and the temperature of the two become equal.
   - (a) What is the final temperature when the two become equal? Assume that coffee has the same specific heat as water.
   - (b) The first time a student solved this problem she got an answer of 88 °C. Explain why this is clearly an incorrect answer.

6. Dissolving 3.0 g of CaCl₂(s) in 15.0 g of water in a calorimeter (Figure 9.12) at 22.4 °C causes the temperature to rise to 25.8 °C. What is the approximate amount of heat involved in the dissolution, assuming the heat capacity of the resulting solution is 4.18 J/g °C? Is the reaction exothermic or endothermic?
Transcribed Image Text:**Student Name:** **Problems:** 1. A burning match and a bonfire may have the same temperature, yet you would not sit around a burning match on a fall evening to stay warm. Why not? 2. How much would the temperature of 275 g of water increase if 36.5 kJ of heat were added? 3. A piece of unknown solid substance weighs 437.2 g, and requires 8460 J to increase its temperature from 19.3 °C to 68.9 °C. - (a) What is the specific heat of the substance? - (b) If it is one of the substances found in Table 9.1, what is its likely identity? 4. How many milliliters of water at 23 °C with a density of 1.00 g/mL must be mixed with 180 mL (about 6 oz) of coffee at 95 °C so that the resulting combination will have a temperature of 60 °C? Assume that coffee and water have the same density and the same specific heat. 5. A 45-g aluminum spoon (specific heat 0.88 J/g °C) at 24 °C is placed in 180 mL (180 g) of coffee at 85 °C and the temperature of the two become equal. - (a) What is the final temperature when the two become equal? Assume that coffee has the same specific heat as water. - (b) The first time a student solved this problem she got an answer of 88 °C. Explain why this is clearly an incorrect answer. 6. Dissolving 3.0 g of CaCl₂(s) in 15.0 g of water in a calorimeter (Figure 9.12) at 22.4 °C causes the temperature to rise to 25.8 °C. What is the approximate amount of heat involved in the dissolution, assuming the heat capacity of the resulting solution is 4.18 J/g °C? Is the reaction exothermic or endothermic?
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