Multiple Choice
A cylinder contains 1.00 mol of an ideal gas at constant temperature and pressure. What will its volume be if an additional 0.340 mol of gas is added to the cylinder?
7. Gases
The Ideal Gas Law Applications
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The relationship between the partial pressure of a gas (P) and the number of moles of that gas (n) is best represented by which of the following graphs?
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Verified step by step guidance1
Recall the ideal gas law equation: \( PV = nRT \), where \( P \) is the pressure, \( V \) is the volume, \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is the temperature.
Rearrange the ideal gas law to express pressure \( P \) in terms of the number of moles \( n \): \( P = \frac{nRT}{V} \).
Assume that the volume \( V \) and temperature \( T \) are constant. This implies that \( P \) is directly proportional to \( n \), i.e., \( P \propto n \).
A direct proportionality between \( P \) and \( n \) means that as the number of moles \( n \) increases, the pressure \( P \) increases linearly.
Identify the graph that represents a linear relationship between \( P \) and \( n \). This graph should be a straight line passing through the origin, indicating that \( P \) increases linearly with \( n \).
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