A 0.25 kg length of aluminum wire is warmed 10.0 degrees by an electric current. How much heat was generated by the current?
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To find the amount of heat generated by the current, we can use the formula:
Q = mcΔT
where Q is the heat generated, m is the mass of the object, c is the specific heat capacity of the material, and ΔT is the change in temperature.
In this case, we are given the following information:
- mass (m) = 0.25 kg
- change in temperature (ΔT) = 10.0 degrees Celcius
However, we still need to know the specific heat capacity of aluminum to calculate the heat generated. The specific heat capacity is the amount of heat required to raise the temperature of a substance by a certain amount.
The specific heat capacity of aluminum is approximately 0.897 J/g·°C.
To convert the mass of the wire from kilograms to grams, we can multiply it by 1000:
mass (m) = 0.25 kg * 1000 g/kg = 250 g
Now, we can calculate the heat generated:
Q = mcΔT
= (250 g) * (0.897 J/g·°C) * (10.0 °C)
Calculating this expression will give us the amount of heat generated by the current in joules.