Answer:
mass is 0.245 mg
Step-by-step explanation:
given data
power = 425 kWh = 1.53 ×
J
gas heating = 195 therms = 195
time = 1 month
to find out
how many milligrams of mass need to meet energy needs for the home
solution
we know here that
1.00 therm = 29.3 kWh
so here 195 therms is equal to 195 ×29.3 × 3600 s
195 therms = 20.56 ×
J
so total energy used
total energy = 1.53 ×
+ 20.56 ×

total energy = 22.09 ×
J
and by einstein mass energy equation
E = mc² ..................1
m = E / c²
put here value
m = 22.09 ×
/ ( 3×
)²
m = 2.45 ×
kg
so mass is 0.245 mg