Which equation models non-ideality by including corrections for intermolecular forces and finite molecular size?

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Multiple Choice

Which equation models non-ideality by including corrections for intermolecular forces and finite molecular size?

Explanation:
Non-ideality arises because real gas molecules have finite size and they attract or repel each other. To capture this, the Van der Waals equation introduces two corrections. The term (P + a(n/V)^2) reflects intermolecular attractions: the attractive forces effectively reduce the pressure that the gas exerts on the container, so the pressure term is corrected downward. The (V - nb) part accounts for the finite size of molecules: because each molecule takes up some space, the actual volume available for movement is less than the container’s volume. Together, these corrections give (P + a(n/V)^2)(V - nb) = nRT, or for one mole, (P + a/V_m^2)(V_m - b) = RT. This contrasts with the ideal gas law, which ignores molecular size and interactions. The other laws concern different ideas (partial pressures in mixtures or rates of effusion) and do not model non-ideality.

Non-ideality arises because real gas molecules have finite size and they attract or repel each other. To capture this, the Van der Waals equation introduces two corrections. The term (P + a(n/V)^2) reflects intermolecular attractions: the attractive forces effectively reduce the pressure that the gas exerts on the container, so the pressure term is corrected downward. The (V - nb) part accounts for the finite size of molecules: because each molecule takes up some space, the actual volume available for movement is less than the container’s volume. Together, these corrections give (P + a(n/V)^2)(V - nb) = nRT, or for one mole, (P + a/V_m^2)(V_m - b) = RT. This contrasts with the ideal gas law, which ignores molecular size and interactions. The other laws concern different ideas (partial pressures in mixtures or rates of effusion) and do not model non-ideality.

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