What is the difference between N and n in the formula N = n NA?

Question

BlackTom AI · Accepted Answer

The question asks: What is the difference between N and n in the formula N = n NA?
Option a: N is the mass of the substance, n is the molar mass. This is incorrect because N is not a mass quantity, and ma ss terms do not involve NA directly; the molar mass is not represented by n in this context.
Option b: N is the number of particles, n is the number of moles. This aligns with the standard interpretation: N denotes the total number of discrete entities (atoms, molecules, etc.), while n denotes amount in moles; NA (Avogadro's number) relates these two quantities. The relationship is N = n NA, so increasing n by one mole increases N by NA particles.
Option c: N is the molar mass, n is the mass of the substance. This reverses the roles and confuses the variables; molar mass is not N, and mass is not n in the intended equation linking particles to moles via NA.
Option d: N is the number of moles, n is the number of particles. This swaps the definitions; in the equation N = n NA, N counts particles, not moles, and n counts moles, not particles. The dimensions would not balance correctly if interpreted this way.
Overall, the only option that correctly assigns N to the total particle count and n to the amount in moles, with NA as the scaling factor, is option b. The other choices either mislabel mass, molar mass, or the roles of N and n, leading to conceptual and dimensional inconsistencies.

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