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Chapter 7: Problem 58

Calculate the number of moles in each of the following samples: a. 8.2 g of sodium phosphate b. 6.66 g of calcium nitrate c. 8.22 g of sulfur dioxide

Short Answer

Expert verified
The number of moles in each sample are: a. 0.050 moles of Sodium Phosphate; b. 0.0406 moles of Calcium Nitrate; c. 0.128 moles of Sulfur Dioxide.

Step by step solution

01

Title

Calculate the molar mass of the provided substances. The molar mass of a substance is calculated by summing up the atomic weights of each constituent atom, multiplied by their respective number of occurrences in the molecule. For instance, the molar mass of Sodium Phosphate (Na3PO4) can be computed as follows: Molar mass = 3*(23.0 g/mol) for Na + 1*(30.97 g/mol) for P + 4*(16.00 g/mol) for O = 163.94 g/mol.
02

Title

Use the formula to calculate moles. The number of moles (n) of a substance can be found using the formula n = mass / Molar mass. Substitute the given mass of Sodium Phosphate (8.2 g) and the calculated molar mass (163.94 g/mol) into the formula to get the number of moles of Sodium Phosphate. This operation results in 0.050 moles.
03

Title

Repeat the process for the other compounds. For instance, for Calcium Nitrate (Ca(NO3)2), first calculate the molar mass: Molar mass = 1*(40.08 g/mol) for Ca + 2((14.01 g/mol) for N + 6*(16.00 g/mol) for O) = 164.10 g/mol. Then, calculate the number of moles: n = 6.66 g / 164.10 g/mol ≈ 0.0406 moles.
04

Title

Finally, for Sulfur Dioxide (SO2), compute the molar mass: Molar mass = 1*(32.07 g/mol) for S + 2*(16.00 g/mol) for O = 64.07 g/mol. Then, calculate the number of moles: n = 8.22 g / 64.07 g/mol ≈ 0.128 moles.

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Most popular questions from this chapter

How many grams are in each of the following samples? a. 1.000 mol \(\mathrm{NaCl}\) (molar mass of \(\mathrm{NaCl}=\) 58.44 \(\mathrm{g} / \mathrm{mol} )\) b. 2.000 \(\mathrm{mol} \mathrm{H}_{2} \mathrm{O}\) (molar mass of \(\mathrm{H}_{2} \mathrm{O}=\) 18.02 \(\mathrm{g} / \mathrm{mol} )\) c. 3.5 \(\mathrm{mol} \mathrm{Ca}(\mathrm{OH})_{2}\) (molar mass of \(\mathrm{Ca}(\mathrm{OH})_{2}=74.10 \mathrm{g} / \mathrm{mol} )\)

Cyclopentane has the molecular formula \(\mathrm{C}_{5} \mathrm{H}_{10} .\) How many moles of hydrogen atoms are there in 4 moles of cyclopentane?

a. How many formula units are there in a 3.12 mol sample of MgCl_ \(?\) b. How many Cl- ions are there in the sample?

How many grams are present in \(4.336 \times 10^{24}\) formula units of table salt, NaCl, whose molar mass is 58.44 \(\mathrm{g} / \mathrm{mol} ?\)

Summarize briefly the process of using empirical formula and the value for experimental molar mass to determine the molecular formula.
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