How many Btu of heat must be added to 1200 lb of copper to raise its temperature from 100°F to 450°F
Forgot to add specific heat for copper is 0.092
To calculate the amount of heat required, we can use the specific heat capacity of copper and the formula:
Q = m * c * ΔT
Where:
Q = heat (in BTU)
m = mass of the copper (in lb)
c = specific heat capacity of copper (in BTU/lb°F)
ΔT = change in temperature (in °F)
The specific heat capacity of copper is approximately 0.092 BTU/lb°F.
Let's calculate the amount of heat required:
m = 1200 lb
c = 0.092 BTU/lb°F
ΔT = 450°F - 100°F = 350°F
Q = 1200 lb * 0.092 BTU/lb°F * 350°F
Q ≈ 38,640 BTU
Therefore, approximately 38,640 BTU of heat must be added to 1200 lb of copper to raise its temperature from 100°F to 450°F.
To determine the amount of heat required, you can use the formula:
Q = mcΔT
Where:
Q = amount of heat
m = mass
c = specific heat capacity
ΔT = change in temperature
Here's how you can calculate it step by step:
1. Find the mass of copper (m):
The mass of copper given is 1200 lb.
2. Convert the mass to the appropriate unit:
The specific heat capacity of copper is typically given in pounds per degree Fahrenheit (lb/°F). Convert the mass to pounds (lb) if necessary.
3. Determine the specific heat capacity of copper (c):
The specific heat capacity of copper is approximately 0.092 BTU/(lb∙°F).
4. Calculate the change in temperature (ΔT):
The change in temperature is the final temperature minus the initial temperature. In this case, ΔT = 450°F - 100°F = 350°F.
5. Plug the values into the formula to calculate the amount of heat (Q):
Q = (mass) x (specific heat capacity) x (change in temperature)
= m x c x ΔT
So, by substituting the values, you can calculate the amount of heat required.