# Math Help - Conversion

1. ## Conversion

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)

2. Note that: $1 \text{kWh} = 3.6 \times 10^{6} \text{J}$

$1600 \frac{\text{kWh}}{ \text{yr}} = \frac{1600 \times 3.6 \times 10^6 \text{J}}{\text{yr}}$

To find the mass, use the relation: $E = mc^{2}$ where m is in kg.