A calorimeter contains 0.50 kg of water at 15°C. A 0.040-kg block of zinc at 115°C is placed in the water. The specific heat of zinc is 388 J/kg °C and the specific heat of water is 4184 J/kg °C

What is the final temperature of the system?

Question

Physics

Reese Johns

10 May, 22:06

A calorimeter contains 0.50 kg of water at 15°C. A 0.040-kg block of zinc at 115°C is placed in the water. The specific heat of zinc is 388 J/kg °C and the specific heat of water is 4184 J/kg °C

What is the final temperature of the system?

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Answers (1)

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Dustin Myers · Answer 1

The final temperature is 16°C

Explanation:

mcΔT (water) = mcΔT (zinc)

0.50 (4184) (t-15) = 0.040 (388) (115-t)

2092 (t-15) = 15.52 (115-t)

2092t-31380 = 1784.8-15.52t

2029t+15.52t = 1784.8+31380

2044.52t = 33164.8

t = 33164.8/2044.52

t = 16

A calorimeter contains 0.50 kg of water at 15°C. A 0.040-kg block of zinc at 115°C is placed in the water. The specific heat of zinc is 388 J/kg °C and the specific heat of water is 4184 J/kg °CWhat is the final temperature of the system?

A calorimeter contains 0.50 kg of water at 15°C. A 0.040-kg block of zinc at 115°C is placed in the water. The specific heat of zinc is 388 J/kg °C and the specific heat of water is 4184 J/kg °C

What is the final temperature of the system?