An electric current heats a 225 g copper wire from 20.0 °C to 40.0 °C. How much heat was generated by the electric current? (ccopper = 0.093 cal/gm-deg)
q = mass copper x specific heat copper x delta T. q will be in the same units as specific heat.
To calculate the heat generated by the electric current, you can use the formula:
Q = mcΔT
Where:
Q = Heat generated (in calories)
m = Mass of the copper wire (in grams)
c = Specific heat capacity of copper (in cal/g°C)
ΔT = Change in temperature (in °C)
Given:
m = 225 g
c = 0.093 cal/g°C
ΔT = 40.0 °C - 20.0 °C = 20.0 °C
Now, we can substitute these values into the equation:
Q = (225 g) x (0.093 cal/g°C) x (20.0 °C)
Now, let's calculate the heat generated:
Q = 419.25 cal
Therefore, the electric current generated 419.25 calories of heat.
To find the amount of heat generated by the electric current, we can use the formula:
Q = mcΔT
Where:
Q = heat energy generated (in calories)
m = mass of the copper wire (in grams)
c = specific heat capacity of copper (in cal/gm-deg)
ΔT = change in temperature (in degrees Celsius)
Given:
m = 225 g
c = 0.093 cal/gm-deg
ΔT = 40.0 °C - 20.0 °C = 20.0 °C
Substituting the given values into the formula:
Q = (225 g)(0.093 cal/gm-deg)(20.0 °C)
Now let's calculate the result:
Q = 420.75 cal
Therefore, the electric current generated 420.75 calories of heat.