Question

Learning Goal: To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas. The four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law: PV = nRT The variable R is known as the universal gas constant and has the value R = 0.0821 L · atm/(mole · K). The units of R dictate the units for all other quantities, so when using this value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature. Part B A 20.0 L gas cylinder is filled with 7.20 moles of gas. The tank is stored at 31 °C. What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units. Ptank = Value Units

          Learning Goal:
To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas.
The four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law:
PV = nRT
The variable R is known as the universal gas constant and has the value R = 0.0821 L · atm/(mole · K). The units of R dictate the units for all other quantities, so when using this value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature.
Part B
A 20.0 L gas cylinder is filled with 7.20 moles of gas. The tank is stored at 31 °C. What is the pressure in the tank?
Express your answer to three significant figures and include the appropriate units.
Ptank = Value Units

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Learning Goal:
To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas.
The four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law:
PV = nRT
The variable R is known as the universal gas constant and has the value R = 0.0821 L · atm/(mole · K). The units of R dictate the units for all other quantities, so when using this value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature.
Part B
A 20.0 L gas cylinder is filled with 7.20 moles of gas. The tank is stored at 31 °C. What is the pressure in the tank?
Express your answer to three significant figures and include the appropriate units.
Ptank = Value Units

Added by Sandy P.

Elementary Principles of Chemical Processes

Richard M. Felder, Ronald W. Rousseau,… 4th Edition

Chapter 3

Instant Answer

Solved by Expert Reed Mckee

05/08/2022

Step 1

Step 1: Use the ideal gas law formula, \(PV = nRT\), where \(P\) is the pressure, \(V\) is the volume, \(n\) is the number of moles, \(R\) is the gas constant, and \(T\) is the temperature in Kelvin. Show more…

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A 20.0 L gas cylinder is filled with 7.20 moles of gas. The tank is stored at 31 ∘C . What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units.

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Transcript

00:01 For this question, we're going to be using the ideal gas law.

00:03 We have a 20 -liter gas cylinder that is filled with 7 .2 moles of a gas at 31 degrees celsius.

00:14 And we know our gas law is pv equals nrt.

00:20 So here we're just, we're just going to plug these in.

00:24 And so we're also told the variable, r is equal to 0 .0.

00:33 821 wheaters our atmosphere over mole times kelvin so the only thing that we're going to have to do and to make sure all these units are correct and then convert the celsius to kelvin so since we're trying to find the pressure we can rewrite this the pv equals nrt by dividing both sides by v and so then we'll get pv over v equals nrt over v and those will cancel out.

01:17 And our pressure will be equal to the number of moles times our constant times the temperature all over the volume.

01:28 So let's go ahead and put in our numbers here.

01:33 So for the number of moles, we have 7 .2 moles for the r.

01:42 We have 0 .0821 and then this part.

01:56 And we have the temperature.

01:59 So what we need to do is convert this 31 degrees celsius to kelvin.

02:02 To do that, we will add 273.

02:07 And that will make it 304 degrees kelvin.

02:13 And let me make sure that that's right.

02:20 And so it's like 304.

02:22 Yeah.

02:26 3, 4.

02:30 And then we'll divide all of this by our volume, which is 20 liters...

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