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(C) The number of atoms in a given volume of a substance is determined by its atomic density. Atomic density is given by the formula $n = \frac{\rho N

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More than that of the rubber

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(C) The number of atoms in a given volume of a substance is determined by its atomic density. Atomic density is given by the formula $n = \frac{\rho N_A}{M}$,where $\rho$ is the density of the material,$N_A$ is Avogadro's number,and $M$ is the molar mass. Since the wires are identical in dimensions,their volumes are equal. The density of iron $(\rho_{Fe} \approx 7870 \ kg/m^3)$ is significantly higher than the density of rubber $(\rho_{rubber} \approx 1100 \ kg/m^3)$. Furthermore,the molar mass of iron $(55.85 \ g/mol)$ is relatively small compared to the complex,high-molecular-weight polymer chains found in rubber. Consequently,the number of atoms per unit volume in iron is much higher than in rubber. Therefore,the iron wire contains more atoms than the rubber wire.

Two identical wires of rubber and iron are stretched by the same weight. The number of atoms in the iron wire will be:

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