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Chapter 3: Q9DQ (page 609)

Question: (a) Which has more atoms: a kilogram of hydrogen or a kilogram of lead? Which has more mass? (b) Which has more atoms: a mole of hydrogen or a mole of lead? Which has more mass? Explain your reasoning.

Short Answer

Expert verified

Hydrogen has a greater number of the atom than lead, and both hydrogen and lead have the same mass.

Step by step solution

01

Write the given data from the question.

Quantity of hydrogen is \(1\;{\rm{kg}}\).

Quantity of lead is \(1\;{\rm{kg}}\).

02

Determine the formula to calculate the number of the atoms.

The number of the atoms is given by the ratio of the product of mass and Avogadro number and molecular weight.

The expression to calculate the number of the atoms is given as follows.

\(N = \frac{m}{W}{N_A}\) 鈥︹�� (i)

Here,\(m\)is the mass,\(W\)is the molecular weight and\({N_A}\)is the Avogadro number.

03

Determine that which has more atom and mass, a kilogram of hydrogen or lead.

From equation (i), it is clear that the molecular weight is inversely proportional to the number of atoms.

Since the molecular weight of the hydrogen is less than the lead. Therefore, the number of atoms of hydrogen is more than the number of atoms of lead. The mass of the hydrogen and lead is the same

Hence hydrogen has a greater number of the atom than lead, and both hydrogen and lead have the same mass.

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