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The specific heat of water is 1.0 Btu/lb°F, and its density is 62.4 lb/ft³. Determine the specific heat capacity of water.
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Answer

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Step 1
: Understand the problem

The specific heat of a substance is the amount of heat energy required to raise the temperature of one unit mass by one unit of temperature. In this case, we are given the specific heat of water in British Thermal Units (Btu) per pound-mass and degree Fahrenheit. Our goal is to find the specific heat capacity, which is the specific heat multiplied by the mass.

Step 2
: Gather necessary information

- Density of water ($$\rho_{water}$$): 62.4 lb/ft³
We are given: To find the specific heat capacity, we need to convert the density from pounds per cubic foot to pounds per unit of volume (e.g., pound, gram, etc.). Since the specific heat is already given in the correct units, we don't need to convert it.

Final Answer

The specific heat capacity of water is 0.036 Btu/in³°F.

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