If 1000 BTUs of heat is added to 100 lb of water, how much does the temperature of the water increase?

To determine how much the temperature of the water increases when 1000 BTUs of heat is added to 100 lb of water, it's important to understand the relationship between heat, mass, specific heat capacity, and temperature change.

Water has a specific heat capacity of 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.

Using this information, we can calculate the change in temperature when 1000 BTUs are added to 100 lb of water with the following formula:

[

\text{Temperature Change (°F)} = \frac{\text{Heat Added (BTUs)}}{\text{Mass (lb)} \times \text{Specific Heat (BTU/lb°F)}}

]

Substituting in the values:

[

\text{Temperature Change} = \frac{1000 \text{ BTUs}}{100 \text{ lb} \times 1 \text{ BTU/lb°F}} = \frac{1000}{100} = 10° \text{Fahrenheit}

]

Thus, the water's temperature increases by 10°F when 1000