Calculating Energy Needs: Converting KWh to g/year in a Typical Home

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A typical home consumes about 1600 kWh of energy monthly, equating to 19,200 kWh annually. To convert this energy into mass using Einstein's equation E=mc², one must first convert kWh to joules, knowing that 1 kWh equals 3.6 million joules. The required mass can then be calculated by rearranging the equation to m = E/c², where c is the speed of light (approximately 2.9979 x 10^8 m/s). This conversion reveals the mass needed to be converted to meet the home's energy needs in grams per year. Understanding these calculations is essential for evaluating energy sources and their implications.
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A typical home uses approximately 1600 kWh of energy per month.If the energy came from a nuclear reaction, what mass would have to be converted to energy per year to meet the energy needs of the home? (in g/year)

I don't know how to do this problem :S
 
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the things you need to know to solve the problem are:

a watt has units: J/s

E(in joules) = mc^{2} <---this is the equation you should use to calculate how much mass is required to be converted.

c = 2.9979 x 10^{8}m/s <---speed of light.
 
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