Chapter 10, Problem 19PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# A flask is first evacuated so that it contains no gas at all. Then, 2.2 g of CO2 is introduced into the flask. On warming to 22 °C, the gas exerts a pressure of 318 mm Hg. What is the volume of the flask?

Interpretation Introduction

Interpretation:

The volume of the flask should be calculated using the given temperature, pressure and amount of gas.

Concept Introduction:

Different laws have been put forward to introduce properties of gases:

Boyle’s law:

At fixed temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted by the gas.

P1V(n,Twillbeconstant)

Charles’s law: States that volume is directly proportional to temperature when the gas is held at constant pressure and number of molecules.

VT

General Gas Law: Combining Charles’s law and Boyle’s law we get the General gas law or combined gas law.

P1V1T1=P2V2T2

• To relate the amount of gas and the volume.
• VnatconstantTandP

Combining all these together ideal gas law is introduced:

PV=nRT

Explanation

Ideal gas law: PVâ€‰=â€‰nRT

â€‚Â Râ€‰=â€‰0.0827â€‰L.â€‰atmK.molTâ€‰â€‰â€‰shouldâ€‰beexpressedâ€‰inâ€‰KPâ€‰shouldâ€‰beâ€‰expressedâ€‰inâ€‰atm

Given data:

â€‚Â Pâ€‰=â€‰318â€‰mmâ€‰Hgâ€‰â€‰â€‰â€‰â€‰=â€‰318â€‰mmâ€‰Hgâ€‰Ã—â€‰1â€‰atm760â€‰mmâ€‰Hgâ€‰=â€‰0.4184â€‰atmTâ€‰â€‰â€‰=â€‰22Â°Câ€‰â€‰=â€‰22â€‰+â€‰273â€‰=â€‰296â€‰Kmassâ€‰ofâ€‰CO2â€‰=â€‰2.2â€‰g

First we have to find the number of moles of CO2

â€‚Â No

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