Multiple Choice
An ideal gas expands through an adiabatic process. Which of the following statements is true?
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7. Gases
The Ideal Gas Law Applications
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Which of the following is an example of an accurate manipulation of the ideal gas law?
A
Solving for pressure: P = nRT/V
B
Solving for number of moles: n = PV/RT
C
Solving for temperature: T = PV/nR
D
Solving for volume: V = nRT/P
Verified step by step guidance1
Recall the ideal gas law equation: \(P V = n R T\), where \(P\) is pressure, \(V\) is volume, \(n\) is number of moles, \(R\) is the ideal gas constant, and \(T\) is temperature.
To solve for pressure \(P\), rearrange the equation by dividing both sides by \(V\): \(P = \frac{n R T}{V}\).
To solve for number of moles \(n\), rearrange the equation by dividing both sides by \(R T\): \(n = \frac{P V}{R T}\).
To solve for temperature \(T\), rearrange the equation by dividing both sides by \(n R\): \(T = \frac{P V}{n R}\).
To solve for volume \(V\), rearrange the equation by dividing both sides by \(P\): \(V = \frac{n R T}{P}\).
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