How many atoms are present in 406.4 g of lead?
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The study of quantitative chemistry is based on the definition of particle, atom, and molecular numbers using mass and Avogadro's number.
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To calculate the number of atoms in 406.4 grams of lead, we first need to determine the number of moles of lead in that sample, using the molar mass of lead, which is approximately 207.2 grams per mole.
406.4 g / 207.2 g/mol = 1.961 moles
Next, we use Avogadro's number, which is approximately 6.022 x 10^23 atoms per mole, to find the number of atoms in 1.961 moles of lead.
1.961 moles x 6.022 x 10^23 atoms/mole = 1.18 x 10^24 atoms
So, there are approximately 1.18 x 10^24 atoms in 406.4 grams of lead.
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To determine the number of atoms in 406.4 grams of lead, you can follow these steps:

Determine the molar mass of lead (Pb). The molar mass of lead is approximately 207.2 grams per mole (g/mol).

Convert the given mass of lead (406.4 grams) to moles by dividing it by the molar mass: ( \text{moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{406.4 \text{ g}}{207.2 \text{ g/mol}} \approx 1.962 \text{ moles} )

Use Avogadro's number, which is approximately ( 6.022 \times 10^{23} ) atoms per mole, to find the number of atoms: ( \text{atoms} = \text{moles} \times \text{Avogadro's number} ) ( \text{atoms} = 1.962 \text{ moles} \times 6.022 \times 10^{23} \text{ atoms/mol} \approx 1.181 \times 10^{24} \text{ atoms} )
Therefore, there are approximately ( 1.181 \times 10^{24} ) atoms in 406.4 grams of lead.
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To find the number of atoms present in 406.4 g of lead, you can use the following steps:

Find the molar mass of lead (Pb) from the periodic table. Molar mass of Pb ≈ 207.2 g/mol.

Use Avogadro's number to find the number of moles of lead in 406.4 g. Number of moles = Mass / Molar mass = 406.4 g / 207.2 g/mol ≈ 1.961 moles.

Use Avogadro's number (6.022 × 10^23 atoms/mol) to find the number of atoms. Number of atoms = Number of moles × Avogadro's number ≈ 1.961 moles × 6.022 × 10^23 atoms/mol ≈ 1.180 × 10^24 atoms.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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