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Question:

Which of the following shows the correct relationship between the pressure P and density ρ of an ideal gas at constant temperature?

Solution:

From ideal gas law: PV = nRT
P = (n/V)RT

M: Molecular mass number
But ρ = nM/V
Therefore, P = ρRT/M
At constant temperature, P ∝ ρ
Hence, the correct graph is (d).