A dishwasher takes 0.75 hours to wash one load.During this time, it uses 4.86 MJ of energy.Calculate the power of this dishwasher.Give your answer in watts.
Question
A dishwasher takes 0.75 hours to wash one load.
During this time, it uses 4.86 MJ of energy.
Calculate the power of this dishwasher.
Give your answer in watts.
Solution
To calculate the power of the dishwasher, we need to use the formula for power which is:
Power = Energy / Time
The energy is given in MegaJoules (MJ) and the time is given in hours. However, we need to convert these units to Joules (J) and seconds (s) respectively, because the standard unit of power (watt) is derived from Joules and seconds.
1 MJ = 1,000,000 Joules 0.75 hours = 0.75 * 60 * 60 = 2700 seconds
So, the energy used by the dishwasher is 4.86 MJ = 4.86 * 1,000,000 = 4,860,000 Joules
Now we can substitute these values into the formula:
Power = 4,860,000 J / 2700 s = 1800 Watts
So, the power of the dishwasher is 1800 Watts.
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