The total U.S. consumption of electricity in a particular year was 5.0 x 1012 kilowatt-hours. What is the mass equivalence of this amount of energy? Show all calculations leading to an answer.

- anonymous

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- anonymous

5.0x10^12

- anonymous

@peachpi

- anonymous

Honestly, I've never seen this before, but I think you convert kW-h to J and use E = mcÂ˛

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## More answers

- anonymous

quite right ....just calculate the year's energy in joules and then use E=mc^2 to find out the mass equivalence ...

- anonymous

can you walk me through changing it to joules please

- anonymous

okay hold on

- anonymous

1 kilowatt hour =
3 600 000 joules

- anonymous

convert it your Kwh into joules then put it in E=MC^2

- anonymous

E being your energy in jouls ....and C being the speed of light

- anonymous

use SI units

- anonymous

so 5.0*10^12=5,000,000,000,000

- anonymous

now multiply it by 3 600 000

- anonymous

yu get your enerygy in jouls then

- anonymous

don t get rid of the exponantional notation here ...it help keeps the number small

- anonymous

so 1.8*10^19j

- anonymous

3 600 000 x (your enrgy in Kwh) = MC^2
you need to fing out M

- anonymous

J*

- anonymous

yeah ... there ya go ^_^

- anonymous

and than the equation i need is M=E/C^2

- anonymous

correct?

- anonymous

yes

- anonymous

good work

- anonymous

So M=1.8*10^19J/299792458m/s

- anonymous

gottta change m/s to J

- anonymous

Basically, the equation states that matter and energy are identical. If you could convert a small amount of matter completely, it would yield a tremendous amount of energy. in your case how ever you are finding the mass cause you already know the energy

- anonymous

everything should be in SI units ....like meter for distance jouls for energy ...

- anonymous

so what do i do than

- anonymous

So M=1.8*10^19J/299792458m/s you said this was your answer right ?

- anonymous

yes but isnt there something more i have to do

- anonymous

that figure is your answer .... express it in kilograms and your all set

- anonymous

how do i express it in kilograms

- anonymous

just do 1.8*10^19/299792458 and add the alphabets Kg in the end

- anonymous

would you believe it i am driving right now ....and i pull over to the side to answer your questions

- anonymous

are you clear on this ?

- anonymous

haha thank you so much

- anonymous

feel free to ask .... i am in the parking lot now

- anonymous

Would you help me with one more question if i post it

- anonymous

No problem bro

- anonymous

depends if i can solve it myself .... ... hit me with it

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