Concept explainers
(a)
Interpretation:
The density of air at STP having “effective” molar mass of
Concept Introduction:
The ideal
The ideal gas equation resultant of all the ideal gas law’s is shown below.
Effective molar mass means the average molar mass of all the gases present in the air.
Answer to Problem 17E
The density of air at STP having “effective” molar mass of
Explanation of Solution
The ideal gas equation is shown below.
Where,
•
•
•
•
•
Density of any substance is defined as the mass per unit volume. That is, mass of the substance divided by the volume that mass is occupying.
Conversion of ideal gas equation in terms of density of gas is shown below.
Divide the equation (1) by
The number of moles of gas is related to its molar mass by the formula shown below.
Where,
•
•
Substitute the value of
Using equation (2) and simplify.
The formula of density of gas in terms of molar mass, temperature, and pressure is given below.
Under STP conditions temperature is
The molar mass of gas is provided as
Substitute the values of P, R, T and MM in the equation (3).
The density of gas at STP having molar mass of
The density of air at STP having “effective” molar mass of
(b)
Interpretation:
The density of air at temperature of
Concept Introduction:
The ideal gas law is the compilation of Charles’s Law
The ideal gas equation resultant of all the ideal gas law’s is shown below.
Effective molar mass means the average molar mass of all the gases present in the air.
Answer to Problem 17E
The density of air at temperature of
Explanation of Solution
The ideal gas equation is shown below.
Where,
•
•
•
•
•
Density of any substance is defined as the mass per unit volume. That is, mass of the substance divided by the volume that mass is occupying.
Conversion of ideal gas equation in terms of density of gas is shown below.
Divide the equation (1) by
The number of moles of gas is related to its molar mass by the formula shown below.
Where,
•
•
Substitute the value of
Using equation (2) and simplify.
The formula of density of gas in terms of molar mass, temperature, and pressure is given below.
Molar mass of oxygen gas is
The temperature of air is
The conversion of temperature in degree celsius to kelvin units is shown below.
Where,
•
•
Temperature of air in degree Celsius units is
Substitute the value
The conversion of pressure in torr to atm is shown below.
The pressure of
Substitute the values of P, R, T and MM in the equation (3).
The density of air at temperature of
The density of air at temperature of
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Chapter 14 Solutions
Introductory Chemistry: An Active Learning Approach
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