Problem

Both propane and butane are useous gaseous fuels.…

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Problem 73 Easy Difficulty

Calculate the enthalpy of combustion of butane, $\mathrm{C}_{4} \mathrm{H}_{10}(g)$ for the formation of $\mathrm{H}_{2} \mathrm{O}(g)$ and $\mathrm{CO}_{2}(g) .$ The enthalpy of formation of butane is $-126 \mathrm{kJ} / \mathrm{mol}$ .

Answer

$\Delta_{\mathrm{r}} H^{\mathrm{o}}=-2657.14 \frac{\mathrm{kJ}}{\mathrm{mol}}$

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Video Transcript

Hi there. In this problem, we are tasked with finding the NFL p of combustion for butane. So enthrall p of combustion is, of course, Delta Delta H. Or it would be the NFL be for this reaction. Hess's law tells us that we can calculate this by taking the n fale peas of the products and subtracting the NFL peas of the reactant. Since this comes from Hess's law, Yeah, um, so that means for this first thing we're going to need is a balanced equation. So we have butane and is combusting, which means it is combining with oxygen, and it's producing carbon dioxide and water. All right, um, when we are calculating this INF Alpi, it's going to be per mole of C four, age 10. So I want to balance this, leaving just a one in front of the C four h 10. So that means I would need four of those five of those and then 13 House of oxygen again. I'm balancing this a little bit differently because I want to keep a coefficient of one in front of the butane so that it is pure mold. Permal. Next, I'm gonna go ahead and look up the NFL piece. For each of these, they give us C four h 10 as 1, 126 kill jewels. Permal Using a table that shows and fell piece of formation, I confined that carbon dioxide is negative. 3 93 0.51 killer jewels per mole and water in its gaseous state. The state is important here. So in its gaseous state it is negative 2. 41 0.8 to kill jewels Permal. Now we have all of the information we need to to solve this problem. So I want to start with the products and there are four moles of co. Two times I'm gonna multiply that times the heat of formation for co two. And I want to add that to the water. So there are five moles of water from the balanced equation and negative to 41.82 Permal killer jewels Permal. All right, so I am adding these together. These are the reactant. Hess's Law says if I take the some of the reactant and I subtract, I'm sorry that some of the products and subtract the reactant. So these were the products that I just did. Now I want to subtract the reactant that is the C four age 10. There's just one mole of that. Yeah. Synth Alpi was given as 126 killer jewels. It's a negative 1. 26 killer jewels per mole. Okay, so I want to subtract this oxygen. Being an element, of course, does not have a value that we need to worry about. So what we have here is our answer. Once we grab our calculator and go ahead and calculate this, we will have our answer. Our answer is going to be negative. 2600 and 57. Kill it, Jules. For every mole of that butane that combusts. All right, there is our answer. Thank you so much for watching today and have a wonderful day.

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