Textbook Question
Indicate which diagram (1, 2, or 3) represents the volume of the gas sample in a flexible container when each of the following changes (a to d) takes place:
c. Atmospheric pressure decreases if temperature does not change.
8. Gases, Liquids and Solids
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?
A
B
C
D
Verified step by step guidance1
Begin by recalling the ideal gas law, which is expressed as 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.
To understand the relationship between pressure (P) and the number of moles (n), rearrange the ideal gas law to solve for P: P = (nRT)/V.
Assuming constant temperature (T) and volume (V), the equation simplifies to P = (RT/V) * n, indicating that pressure is directly proportional to the number of moles.
A direct proportionality between two variables is represented graphically as a straight line passing through the origin, where the slope of the line is determined by the constant (RT/V).
Examine the provided graphs to identify which one represents a linear relationship between P and n, where P increases linearly as n increases.
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