Determine the total sum of the coefficients after balancing th...

Question

Determine the total sum of the coefficients after balancing the following equation.

Accepted Answer

in this practice question, it says determine the total sum of the coefficients after balancing the following equation. All right, so this one's a little bit different from what we're accustomed to seen here. They're basically asking us to find all the coefficients for each compound and then add them up together because we want the sum, the total sum of all the coefficients. All right, so we're gonna start out with our list. We're going to say we have carbon, hydrogen, sulfur and oxygen on the other side, the list matches carbon, hydrogen, sulfur and oxygen. Now we're going to say we have two carbons. Five plus 16 hydrogen, one sulfur and to oxygen's on the other side, we have one carbon, two hydrogen, one sulfur. And then we have what to oxygen's. Three. Oxygen's five. Oxygen's five oxygen's here. Alright, so let's balance this out. The number of carbons don't match. Here we have it too. And here we have a one. So we're gonna place a coefficient of two right here that to get distributed to not only the carbon, but also the oxygen. So we're gonna have two carbons and then two times two is four. Oxygen's five Oxygen's and then seven. Oxygen's Next balance out your hydrogen. Here, this is six. But here this is only two. So I'm gonna put a three here so three times to give me six hydrogen. But then we have three oxygen's here, plus another four here. So that's seven. Plus another two is nine oxygen's. Don't worry, we're just going down the list. We're gonna eventually get to the oxygen's sull. Furs are the same. Both are one and one. So let's not do anything to that, then here we have two oxygen's and here we have nine oxygen's. So we have to think of a number to multiply four by. Well, I kind of said it. We have to think of a number to multiply two by two. Get Thio nine. We can't do four because four times to gives us eight. We can't do five because five times two gives us 10 The number that we have the place here is 4545 times to would give me nine. But remember, you're not allowed to have fractions or decimals as coefficients. They have to be whole numbers in these situations, remember all we do is we multiply this by two so all the coefficients will get multiplied by two. So when we do that, we're gonna have to nine, four, six and two as the coefficient for each one of these compounds. Okay, so then 902 gas gives me four co two gas six h two a liquid plus two eso to gas. So are coefficients would be 2946 and two. This is in our final answer because, remember, we have to add them all up. We need the total sum of all the coefficients. So two plus nine gives me 11. 11 plus four equals 15 plus six gives me 21. Plus, this Final Two gives me 23 as the total sum for all the coefficients in this balanced equation. So 23 would be our final answer.

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