If 10 BTUs are transferred to 10 lb of water, what is the closest increase in temperature?

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To determine the increase in temperature when 10 BTUs are transferred to 10 pounds of water, it is essential to use the specific heat capacity of water, which is a fundamental property. The specific heat capacity of water is approximately 1 BTU/lb°F. This means that it takes 1 BTU of energy to raise the temperature of 1 pound of water by 1°F.

Given that you have 10 pounds of water and are adding a total of 10 BTUs, you can calculate the temperature increase as follows:

  1. If 1 BTU raises 1 pound of water by 1°F, then 10 BTUs will raise 10 pounds of water by:
  • Temperature Increase = (BTUs Transferred) / (Weight of Water)

  • Temperature Increase = 10 BTUs / 10 lbs = 1°F

This calculation shows that the closest increase in temperature, based on the specific heat capacity of water and the amount of energy transferred, is indeed 1°F. Therefore, the answer aligns perfectly with the fundamentals of thermodynamics involving heat transfer and water's specific heat.

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