A 0.25 kg length of aluminum wire is warmed 10.0°C by an electric current. How much heat was generated by the current?

To find the amount of heat generated by the current, you can use the formula:

Q = m * c * ΔT

Where:
Q is the heat generated (in joules)
m is the mass of the aluminum wire (in kilograms)
c is the specific heat capacity of aluminum (in joules per kilogram per degree Celsius)
ΔT is the change in temperature (in degrees Celsius)

In this case:
m = 0.25 kg
c = 900 J/kg°C (specific heat capacity of aluminum)
ΔT = 10.0°C

Now we can substitute the values into the formula:

Q = 0.25 kg * 900 J/kg°C * 10.0°C
Q = 2250 J

Therefore, the heat generated by the current is 2250 Joules.