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(a)
Interpretation: The given data needs to be plotted if the density is plotted on the x-axis.
Concept Introduction: The molar mass and density of gases are directly proportional to each other.
(a)
![Check Mark](/static/check-mark.png)
Explanation of Solution
The given table for data showing the molar mass and density of seven gases at STP is as follows:
Substance | Molar mass (g/mol) | Density (g/L) |
Oxygen | 32 | 1.43 |
Carbon dioxide | 44 | 1.96 |
Ethane | 30 | 1.34 |
Hydrogen | 2 | 0.089 |
Sulfur dioxide | 64.1 | 2.86 |
Ammonia | 17 | 0.759 |
Fluorine | 38 | 1.70 |
Plotting graph by putting density at x -axis. Thus, the graph obtained will be:
(b)
Interpretation: The slope of the straight-line plot needs to be determined.
Concept Introduction: The slope of the straight line can be determined by simply finding the equation of a straight-line graph. To determine the value of the slope, display the equation on a graph.
(b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
The equation for the graph is
On comparing the slope of the graph is 22.416.
(c)
Interpretation: The molar mass of a gas at STP with a density of 1.10 g/L needs to be determined.
Concept Introduction: The slope of the straight line can be determined by simply finding the equation of a straight-line graph. To determine the value of the slope, display the equation on a graph.
(c)
![Check Mark](/static/check-mark.png)
Explanation of Solution
The graph equation is as follows:
Since density is plotted on the x -axis put the value to calculate y which is the molar mass of gas corresponding to that volume.
Therefore, the molar mass of the gas is
(d)
Interpretation The number of moles of a gas at STP needs to be calculated for mass 56.0 g.
Concept Introduction: The slope of the straight line can be determined by simply finding the equation of a straight-line graph. To determine the value of the slope, display the equation on a graph.
(d)
![Check Mark](/static/check-mark.png)
Explanation of Solution
According to the question, the number of moles of a gas is 1 mol at STP with a mass of 56.0 g. Thus, the molar mass is 56 g/mol.
The graph equation is as follows:
Since density is plotted on the x -axis. Thus, the molar mass is at the y-axis.
Therefore, the molar mass of the gas is 25 g/L.
Chapter 10 Solutions
Chemistry 2012 Student Edition (hard Cover) Grade 11
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