Question

Calculate the molarity and the molality of an $\mathrm{NH}_3$ solution made up of 30.0 g of $\mathrm{NH}_3$ in 70.0 g of water. The density of the solution is $0.982 \mathrm{~g} / \mathrm{mL}$.

   Calculate the molarity and the molality of an $\mathrm{NH}_3$ solution made up of 30.0 g of $\mathrm{NH}_3$ in 70.0 g of water. The density of the solution is $0.982 \mathrm{~g} / \mathrm{mL}$.
 
Chemistry
Chemistry
Raymond Chang, Jason… 14th Edition
Chapter 12, Problem 23 ↓
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Calculate the molarity and the molality of an $\mathrm{NH}_3$ solution made up of 30.0 g of $\mathrm{NH}_3$ in 70.0 g of water. The density of the solution is $0.982 \mathrm{~g} / \mathrm{mL}$.
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Calculate the molarity and the molality of an NH3 solution made up of 30.0 g of NH3 in 70.0 g of water. The density of the solution is 0.982 g/mL.

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Transcript

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00:01 Okay, so we want the molarity and the molality of a solution.
00:06 Okay, so let's first start by computing the molarity.
00:12 So molarity will be number of moles divided by the volume of the solution in liters.
00:20 So the first thing we need is the number of moles, right? the number of moles of ammonia.
00:29 Okay, so we have 30 grams of ammonia.
00:35 Okay, and to compute number of moles, basically you need to use the molar mass.
00:41 If you look that up, one mole of ammonia will have 17 grams.
00:52 Okay, if you compute that, cancel the grams, final units will be mole, which is what we want.
00:59 You will have something like 1 .76 mole.
01:07 Okay, first step done.
01:11 We also need the volume of the solution.
01:15 Okay? and we don't really have that.
01:17 What we have is the density of the solution and the mass of the solvent, which is the water, and the mass of the ammonium.
01:25 So we can compute the mass of the solution.
01:30 And using the density then, we can arrive at the volume of the solution.
01:36 Okay, remember the density connects mass and volume.
01:40 So let's do that.
01:42 So now our destination is the volume of the solution.
01:50 That's what we want.
01:52 So first, we need to compute the mass of the solution.
01:57 So the mass of the solution will include 30 grams of ammonia right here.
02:04 And we have also to include, of course, the 70 grams of water.
02:11 Okay.
02:13 Now, this will give you...
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