A railroad tank car derails and spills 36 tons of...

A railroad tank car derails and spills 36 tons of concentrated sulfuric acid. The acid is $98.0$ mass $\% \mathrm{H}_{2} \mathrm{SO}_{4}$ and has a density of $1.836 \mathrm{~g} / \mathrm{mL}$. (a) What is the molarity of the acid? (b) How many kilograms of sodium carbonate are needed to completely neutralize the acid? (c) How many liters of carbon dioxide at $18^{\circ} \mathrm{C}$ and 745 $\mathrm{mm} \mathrm{Hg}$ are produced as a by-product?

Transcript

00:01 We are told that we have a railroad car filled with sulfuric acid and we're going to first find the molarity of the acid.

00:11 So let's see.

00:12 I know that it's 98 % by mass.

00:14 First i have 36 tons.

00:21 Let's see.

00:33 36 tons.

00:35 I don't care about that yet.

00:39 So i have 98 % will be 1 .836 grams per mole and that will be grams per milliliter.

01:20 I'm sorry about that.

01:25 That's what i was getting thrown here.

01:26 I had this written down wrong.

01:33 Times 1 ,000 milliliters per liter times 0 .98 and that will equal 1 .836 times 1 .836 times 1 ,000 times 0.

01:56 And that gives me 1799 .28 grams per liter.

02:10 Now let's multiply that by the molar mass of sulfuric is 98 .08 and that'll equal 18 .345 molar.

02:47 Based on all my givens in this problem it looks like i can report this to three.

02:54 That is two.

02:57 So i'll go to 18 molar h2so4.

03:07 Whoops.

03:11 And again i'm basing that on two significant figures but here is the value i will use for subsequent concentrations.

03:20 Okay.

03:21 Now the neutralization.

03:23 So i'm going to need a reaction here.

03:27 Let's take n2, whoops, na2co3 add h2so4 and that's going to produce na2so4 plus co2 plus h2o.

03:47 This is aq.

03:52 I don't really care what my states are so it doesn't matter.

03:55 2, 2, co3, c123, h2, h2 and so4.

04:04 I guess that's already balanced.

04:11 So let's go ahead and figure this out.

04:13 So i have 63 tons.

04:19 Is it 63 tons? 36 tons and 36 tons.

05:02 There are 2 ,000, one ton.

05:11 Does it tell me what kind of tons? no it just says tons.

05:16 So there's 2 ,000 pounds in a ton.

05:22 There's 2 .20.

05:24 Let me go get this.

05:40 2 .205.

05:42 I'll go for six pounds in a kilogram and one kilogram is 1 ,000 grams and we're told that out of this it's 0 .98 percent.

06:05 Okay.

06:06 So this should give me how many grams of sulfuric acid i have and i have a lot.

06:44 36 tons times 2 ,000 pounds times a thousand grams times 98 divided by 2 .2406 and this will equal 3 .20 times 10 to the one, two, three, four, five, six, seven and i want to make a note.

07:08 I am assuming a u .s.

07:13 Ton.

07:14 We'll double check again here and this is from i don't know what text or anything or where this is from so you'll need to verify this...

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