Question

A piece of sodium metal reacts completely with water as follows: 2Na(s) + 2H2O(l) → 2NaOH(aq) + H2(g) The hydrogen gas generated is collected over water at 25.0°C. The volume of the gas is 219 mL measured at 0.975 atm. Calculate the number of grams of sodium used in the reaction. (The vapor pressure of water at 25.0°C = 0.0313 atm.)

          A piece of sodium metal reacts completely with water as follows:
2Na(s) + 2H2O(l) → 2NaOH(aq) + H2(g) The hydrogen gas generated is
collected over water at 25.0°C. The volume of the gas is 219 mL
measured at 0.975 atm. Calculate the number of grams of sodium used
in the reaction. (The vapor pressure of water at 25.0°C = 0.0313
atm.)

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Added by Mary G.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Susan Hallstrom

06/12/2022

Step 1

Given: \(P = 0.9437 \text{ atm}\) (atmospheric pressure - vapor pressure of water) \(V = 219 \text{ mL} = 0.219 \text{ L}\) (volume of gas) \(R = 0.08206 \text{ L atm/mol K}\) (ideal gas constant) \(T = 298 \text{ K}\) (temperature) Substitute the values into the Show more…

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A piece of sodium metal reacts completely with water as follows: 2Na(s) + 2H2O(l) → 2NaOH(aq) + H2(g) The hydrogen gas generated is collected over water at 25.0°C. The volume of the gas is 219 mL measured at 0.975 atm. Calculate the number of grams of sodium used in the reaction. (The vapor pressure of water at 25.0°C = 0.0313 atm.)

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Transcript

00:01 Here's the reaction for sodium with water to produce sodium hydroxide and hydrogen gas.

00:08 We're told that the hydrogen gas generated, i did this wrong.

00:17 I don't know what i was thinking.

00:19 This is h2.

00:21 Nope, i got that one right.

00:23 This should be h2.

00:25 There we go.

00:27 The hydrogen gas generated is generated over water at 25 degrees celsius.

00:38 The volume of the gas is 219 millimeters.

00:47 And our pressure is 0 .975 atms.

00:54 This is our atmospheric pressure, it's our volume, it's our temperature.

01:04 We're asked to find grams of sodium used, and our vapor pressure of water is given at 0 .0313 atmospheres.

01:24 We are going to calculate our moles of gas.

01:30 N equals, should i use, i, yeah, so n equals pv over rt.

01:45 My pressure that i'm going to use in this equation, my pressure of my h2 is going to be equal to my atmospheric pressure.

02:01 I didn't leave room here.

02:09 It will be equal to our, well, let me write down what it is, p atmosphere minus p water.

02:20 So that will be 0 .975 atmospheres minus 0 .0313 atmospheres.

02:47 I'll round later.

02:49 This equals 0 .9437.

02:54 That is my p...

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