What is the volume of 2.3 moles of a gas kept at 13.9 psi, and standard temperature?

Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter12: States Of Matter
Section12.1: Gases
Problem 10SSC
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What is the volume of 2.3 moles of a gas kept at 13.9 psi, and standard temperature?

 

Expert Solution
Step 1

The ideal gas equation is given as:

PV nRT
Where, P pressure
V volume
n =no. of moles
T temperature
0.0821 L atm mol-1 K-1
R = gas constant
Step 2

Given,

No. of moles (n) = 2.3 mol

Pressure (P) = 13.9 psi = 0.946 atm          (since, 1 psi = 0.068046 atm)

Standard temperature (T) = 0oC = 273 K

Volume (V) = ?

Substituting these values in the ideal gas equation, we can calculate the volume as:

PV nRT
n RT
V =
P
2.3 mol x 0.0821 L atm mol-1 K-1 x 273 K
V =
0.946 atm
V = 54.5 L
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