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Question
imagine two pure samples of gas in identical closed, rigid containers: gas a and gas b. gas b has a higher gas pressure than gas a. which gass particles exert a greater total force on the walls of their container? gas a gas b what factors could contribute to this difference in force? select all that apply. the temperature of each gas the number of particles in each gas
Step1: Recall the formula for pressure
Pressure \( P=\frac{F}{A}\), where \(F\) is force and \(A\) is area. Since the containers are identical (so \(A\) is the same for both gases), and \(P_B > P_A\). Rearranging the formula gives \(F = P\times A\).
Step2: Compare forces
Because \(A\) is constant and \(P_B > P_A\), then \(F_B=F(P_B\times A)>F(P_A\times A) = F_A\).
Step3: Consider factors affecting pressure (and thus force)
From the ideal gas law \(PV = nRT\) (where \(P\) is pressure, \(V\) is volume, \(n\) is the number of moles (related to number of particles), \(R\) is a constant, and \(T\) is temperature). For a fixed \(V\) (rigid container), \(P\propto nT\). So both the number of particles (\(n\)) and temperature (\(T\)) can affect pressure (and since \(F = P\times A\), they can affect force).
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gas B; the temperature of each gas, the number of particles in each gas