Concept explainers
The graph shows the ideal gas law relationship (PV =nRT) between volume (V) and temperature (T).
- a. What are the units of the slope (0.0175)?
- b. If the tank has a pressure of 2.4 atmospheres and is filled with nitrogen (formula, N2; molecular weight, 28 grams per mole), what is the mass of gas in the tank in units of grams?
- c. If the tank is filled with 20 grams of oxygen (formula, o2; molecular weight, 32 grams per mole), what is the pressure of the tank (P) in units of atmospheres?
a.
Find the slope units.
Answer to Problem 1ICA
The units of slope is
Explanation of Solution
Calculation:
Refer to the graph in the respective question. The expression is,
Rearrange the expression.
From the graph, the unit of volume (V) is L and temperature (T) is K. Therefore, the unit of slope (0.0175) is
Conclusion:
Thus, the units of slope is
b.
Find the mass of gas in terms of grams.
Answer to Problem 1ICA
The mass of nitrogen gas in terms of grams is 14.4 g.
Explanation of Solution
Given data:
Molecular weight (MW) of nitrogen is 28 grams per mole.
Pressure (P)is 2.4 atmospheres.
Formula used:
Consider the ideal gas law relationship.
Here,
Calculation:
Refer to the graph in the respective question. The expression is,
Modify equation (1) as follows.
Substitute
Substitute 2.4 atm for P and
Consider the general expression for mass in terms of molecular weight.
Substitute
Conclusion:
Thus, the mass of nitrogen gas in terms of grams is 14.4 g.
c.
Find the pressure of tank in terms of atmospheres.
Answer to Problem 1ICA
The pressure of tank in terms of atmospheres is 3.0 atm.
Explanation of Solution
Given data:
Molecular weight (MW) of oxygen is 32 grams per mole.
Mass of oxygen (m)is 20 grams.
Calculation:
Refer to the graph in the respective question.
Modify equation (2).
Substitute 20 g for
Modify equation (1).
Substitute
Substitute 0.625 mol for n and
Conclusion:
Thus, the pressure of tank in terms of atmospheres is 3.0 atm.
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Chapter 12 Solutions
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