An electric drill rated 400W is used to drill a hole in copper of mass 400g in 20s. Calculate the rise in temperature if all the heat produced is absorbed b...
Question 1 Report
An electric drill rated 400W is used to drill a hole in copper of mass 400g in 20s. Calculate the rise in temperature if all the heat produced is absorbed by the copper. [specific heat capacity of copper = 400Jkg-1K-1]
Answer Details
To calculate the rise in temperature of the copper, we need to use the formula: heat energy = mass x specific heat capacity x temperature change We know the power of the drill (400W) and the time taken (20s), so we can calculate the total energy produced: total energy = power x time total energy = 400W x 20s total energy = 8000J We also know the mass of the copper (400g) and the specific heat capacity of copper (400Jkg-1K-1). To calculate the temperature change, we rearrange the formula: temperature change = heat energy / (mass x specific heat capacity) temperature change = 8000J / (0.4kg x 400Jkg-1K-1) temperature change = 50K Therefore, the rise in temperature of the copper is 50oC. So the correct option is: 50oC.
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