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If the temperature of 755 g of water drops by 7°c, how much heat is released?

A. 500 cal

B. 62.5 cal

C. 2000 cal

D. 4000 cal

User ImWH
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1 Answer

2 votes

Final answer:

The heat released when the temperature of 755 g of water drops by 7°C is 5285 calories. This calculation is based on the specific heat capacity of water, which is 1 calorie/gram°C. The correct answer does not match any of the provided options.

Step-by-step explanation:

The amount of heat released when the temperature of 755 g of water drops by 7°C can be calculated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature. The specific heat capacity of water is approximately 1 calorie/gram°C (or 4.184 joules/gram°C).

Using this formula:

  • Q = (755 g) × (1 cal/g°C) × (7°C)
  • Q = 5285 calories

Since none of the provided options (A, B, C, D) matches the calculated value, it seems there might be an error in the question or the options given. Under the assumption that the specific heat capacity is exactly 1 cal/g°C, the correct answer is not listed among the options provided.

User JARC
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7.6k points