(a) What is the mass, in grams, of 2.50⨉10 −3 mol of ammonium phosphate?

Hi everyone here, we have a question asking us to calculate the mass and grams of a sample containing 5.69 times 10 to the negative fifth moles of calcium carbonate. So we have calcium With a Plus two charge. And that is because it is in the second group of the periodic table. And then we have carbonate Which has a -2 charge. So these are going to cancel out and give us calcium carbonate. Now we need to add our molar mass of calcium carbonate. So we have one calcium. And if we look on the periodic table has a molar mass of 40.08, We have one carbon With the molar mass of 12.01 And we have three oxygen With a molar mass of 16. And if we add this together, we get 100.9 g per mole. So we're going to take our 5.6- Times 10 to the negative 5th moles And multiply by 100 .9 g per mole. And our moles are going to cancel out. And that is going to give us 0.00569. Now, let's put that into scientific notation. So our six here, if we look to the right of it, we have a nine. So that's going to be rounded up to a seven. And we want to move our decimal place 1, 2, 3 places to the right. So we're gonna get 5. times 10 to the -3 g. And that is our final answer, thank you for watching. Bye

Ch.3 - Chemical Reactions and Reaction Stoichiometry

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Brown 14th Edition

Ch.3 - Chemical Reactions and Reaction Stoichiometry

Problem 37a

Chapter 3, Problem 37a

(a) What is the mass, in grams, of 2.50⨉10⁻³ mol of ammonium phosphate?

Verified step by step guidance

Determine the molar mass of ammonium phosphate, (NH_4)_3PO_4.

Calculate the molar mass by adding the atomic masses of all atoms in the formula: 3 nitrogen (N), 12 hydrogen (H), 1 phosphorus (P), and 4 oxygen (O) atoms.

Use the formula: mass (g) = moles × molar mass (g/mol) to find the mass.

Substitute the given moles (2.50 \times 10^{-3} mol) and the calculated molar mass into the formula.

Perform the multiplication to find the mass in grams.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all the atoms in a molecule. For ammonium phosphate (NH4)3PO4, the molar mass can be determined by adding the masses of nitrogen, hydrogen, phosphorus, and oxygen in the compound.

Stoichiometry

Stoichiometry is the area of chemistry that involves the calculation of reactants and products in chemical reactions. It allows chemists to predict the quantities of substances consumed and produced in a given reaction based on the balanced chemical equation. In this case, stoichiometry helps relate the number of moles of ammonium phosphate to its mass.

Conversion of Moles to Grams

To convert moles of a substance to grams, one multiplies the number of moles by the molar mass of the substance. This conversion is essential in quantitative chemistry, as it allows for the practical application of mole calculations in laboratory settings. For the given question, multiplying 2.50×10⁻³ mol of ammonium phosphate by its molar mass will yield the mass in grams.