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Solve questions related to the increase in temperature of an embedded bullet and heated water using specific heat capacities and heat energy calculations.
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1. A 3.00 x 10-3 kg lead bullet travels at a speed of 2.40 x 102 m/s and hits a wooden post. If half the heat energy generated remains with the bullet, what is the increase in temperature of the embedded bullet? (clead = 128 J/kg•°C)a. 112°C b. 137°C c. 225°C d. 259°C
1. A 3.00 x 10-3 kg lead bullet travels at a speed of 2.40 x 102 m/s and hits a wooden post. If half the heat energy generated remains with the bullet, what is the increase in temperature of the embedded bullet? (clead = 128 J/kg•°C)a. 112°C b. 137°C c. 225°C d. 259°C
2. What is the temperature increase of 4 kg of water when it is heated by an 800 W immersion heater for exactly 10 minutes? (cwater = 4186 J/kg•°C)a. 57°C b. 51°C c. 29°C d. 14°C
2. What is the temperature increase of 4 kg of water when it is heated by an 800 W immersion heater for exactly 10 minutes? (cwater = 4186 J/kg•°C)a. 57°C b. 51°C c. 29°C d. 14°C
3. Over several cycles, a refrigerator does 1.73 x 104 J of work on the refrigerant. The refrigerant removes 8.11 x 104 J as heat from the air inside the refrigerator. How much energy is delivered to the outside air?a. 3.19 x 104 J b. 4.92 x 104 J c. 6.38 x 104 J d. 9.84 x 104 J
3. Over several cycles, a refrigerator does 1.73 x 104 J of work on the refrigerant. The refrigerant removes 8.11 x 104 J as heat from the air inside the refrigerator. How much energy is delivered to the outside air?a. 3.19 x 104 J b. 4.92 x 104 J c. 6.38 x 104 J d. 9.84 x 104 J
4. An engine absorbs 2150 J as heat from a hot reservoir and gives of 750 J as heat to a cold reservoir during each cycle. How much work is done during each cycle?a. 750 J b. 1400 J c. 2150 J d. 2900 J
4. An engine absorbs 2150 J as heat from a hot reservoir and gives of 750 J as heat to a cold reservoir during each cycle. How much work is done during each cycle?a. 750 J b. 1400 J c. 2150 J d. 2900 J
5. A heat engine performs 2000.0 J of net work while adding 5000.0 J of heat to the cold-temperature reservoir. What is the efficiency of the engine?a. 0.714 b. 0.600 c. 0.400 d. 0.286
5. A heat engine performs 2000.0 J of net work while adding 5000.0 J of heat to the cold-temperature reservoir. What is the efficiency of the engine?a. 0.714 b. 0.600 c. 0.400 d. 0.286
2. A mixture of 30.2 g of sand and 87.7 g of water has a temperature of 12.1°C. What mass of water at 85.8°C must be added to raise the final temperature of the mixture to 29.3°C? (cwater = 4.19 J/g•°C and csand = 2.01 J/g•°C)
cm∆T + cm∆T = cm∆T2.01(30.2)17.2 + 4.19(87.7)17.2 = 4.19(m)56.5m = 31.1 g