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Chemists use the mole as the unit for the amount of substance. One mole is equal to 6.02 x 10^23 (just like one dozen is equal to 12). A 40.1 g sample of calcium contains approximately 1 mole of calcium atoms. How many calcium atoms are in a 4 kg sample of calcium?

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sebassandin

Answer:

[tex]atoms=6.0x10^{25}atoms[/tex]

Explanation:

Hello!

In this case, since we are given 4 kg of a calcium-containing sample, in order to compute the atoms there first need to compute the mass in grams:

[tex]m=4kg*\frac{1000g}{1kg} =4000g[/tex]

Next, via the molar mass and the Avogadro's number, we can compute the atoms as follows:

[tex]atoms=4000g*\frac{1mol}{40.1g}*\frac{6.02x10^{23}atoms}{1mol}\\\\atoms=6.0x10^{25}atoms[/tex]

Best regards!

mickymike92

There are 6.02 * 10²⁵ atoms in 4kg of calcium.

Number of moles, number of particles and molar mas relationship

  • Number of particles = number of moles * 6.02 * 10²³
  • Number of moles = mass in g / molar mass in g/mol

molar mass of calcium = 40 g/mol

Mass of calcium in g =  4 kg * 1000g/kg

mass of calcium = 4000 g

moles of calcium = 4000/ 40

moles of calcium = 100 moles

  • 1 mole of calcium contains 6.02 * 10²³ atoms

100 moles of calcium will contain 6.02 * 10²³ * 100 atoms

100 moles of calcium will contain 6.02 * 10²⁵ atoms

Therefore, there are 6.02 * 10²⁵ atoms in 4kg of calcium.

Learn more about number of particles and moles at: https://brainly.com/question/17145620

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