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How many kilowatt hours of energy would be produced by the complete conversion to energy of .797mg of matter?
A Watt (W) is a unit of power equal to 1J/s. A kilowatt is 1000 watts. How many kilowatt hours (1000 watts/s for one hour) of energy would be produced by the complete conversion to energy of 0.797 mg of matter?
Answer:
We use E = m*c^2. If m is in kg, and c in m/s, then our answer, E is in Joules since a Joule is kg m^2/s^2.
so E = 0.797 mg * (0.000001 kg/mg) * (2.9979 x 10^8 m/s)^2;
E = 7.1630 x 10^10 Joules
Now, convert to kWH:
7.1630 x 10^10 Joules * (kWH/3600000 Joules) = 19897 kWH.
Round to 3 sig figs since your original mass had 3 sig figs:
19900 kWH.
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