If 1.0 g of matter is converted to energy, how much energy is formed?

Video transcript

hey everyone in this example, we need to determine the amount of energy produced when 1.3 g of matter turns into energy. So we should recall our formula for the mass energy relation. Where we say that energy is equal to our mass times the speed of light squared. So what we would plug in is our energy is equal to our mass given in the prompt as 1.3 g. We're going to convert from grams to kilograms by recalling that our prefix kilo tells us we have to the third power grams. So this allows us to cancel out g and now we're going to multiply by our speed of light, which we recall is 3.00 times 10 to the eighth power. And this has units of meters per second. And we're going to square this. So what we're going to get here is a value of 1.17 times 10 to the 17th power. And we have units of kilograms times meters squared divided by seconds squared. Now we should recall that one jewel is equal to one kg times meters squared, divided by seconds squared. And so we can say therefore our answer for energy is that it's equal to 1.17 times 10 to the 17th power jewels. So this here is going to be our final answer for the energy produced When 1.3 g of matter turns into energy, I hope that everything I reviewed was clear. If you have any questions leave them down below and I will see everyone in the next practice video