Question

the diagrams below show two pure samples of gas in identical closed, rigid containers. each colored ball represents one gas particle. which sample has the higher gas pressure? sample a sample b neither; the samples have the same gas pressure

Explanation:

Step1: Recall the ideal gas law

The ideal gas law is \(PV = nRT\). Here, \(V\) (volume, since containers are identical), \(T\) (temperature, both \(175^{\circ}C\)) and \(R\) (gas constant) are the same. Pressure \(P\) is directly proportional to the number of moles \(n\) (\(P=\frac{nRT}{V}\), when \(V\) and \(T\) are constant).

Step2: Compare the number of gas particles

Sample A has more gas particles. Since the number of moles \(n\) is proportional to the number of particles (by \(n=\frac{N}{N_A}\), where \(N\) is the number of particles and \(N_A\) is Avogadro's number), sample A has a higher \(n\).

Answer:

sample A