Calculate the mass in grams of each of the following...

Calculate the mass in grams of each of the following samples.
a. 3.09 moles of ammonium carbonate
b. $4.01 \times 10^{-6}$ moles of sodium hydrogen carbonate
c. 88.02 moles of carbon dioxide
d. 1.29 mmol of silver nitrate
e. 0.0024 mole of chromium(III) chloride

Key Concepts

Unit Conversion

Unit conversion in chemical calculations involves changing quantities from one unit to another, such as converting millimoles to moles or ensuring that masses are expressed in grams. Accurate unit conversion is critical for integrating various measurements and ensuring consistency throughout a calculation.

Mass-Mole Conversion

Mass-mole conversion is the process of converting between the number of moles of a substance and its mass using the substance's molar mass as a conversion factor. This fundamental stoichiometric technique underpins many calculations in chemistry, such as determining how much of a substance reacts or is produced in a chemical reaction.

Mole Concept

The mole is a fundamental unit in chemistry used to express amounts of a chemical substance, representing 6.022 x 10^23 elementary entities (atoms, molecules, ions, etc.). This concept allows chemists to count particles by weighing macroscopic amounts of material, bridging the gap between microscopic and macroscopic scales.

Molar Mass Calculation

Molar mass is the mass of one mole of a substance, usually expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in the compound's formula, as determined from the periodic table, and is essential for converting between the mass of a substance and the number of moles.

Transcript

00:01 We have five compounds listed out and with the amount of moles of each compound.

00:08 And we're looking for mass.

00:13 So we know that mass is equivalent to number of moles multiplied by molar mass.

00:24 So we have moles.

00:26 All we have to do is find molar mass and multiply those two together.

00:29 All right.

00:31 So first off, we have ammonium carbonate.

00:35 So i am not going to calculate the molar mass of this with you, but i'll explain how it's done.

00:42 So we just take the molar mass of each element and add it up altogether and sum it.

00:50 And we always have to take into account the number of each element present.

00:56 Yes, it's quite simple.

00:58 So i've already done it.

01:00 And so i've already done it.

01:00 And so, i've already done it.

01:00 The molar mass of ammonium carbonate is 96 .09 grams per mole.

01:11 Mm -hmm.

01:16 Right.

01:17 So once we multiply that through, we get a mass of 296 .9 grams.

01:37 And there is not a decimal over there.

01:41 But right 296 grams of ammonium carbonate next off we have sodium bicarbonate or sodium hydrogen carbonate right so we have 4 .01 times 10 to the negative 6 moles of sodium bicarbonate the molar mass of sodium bicarbonate is 84 basically grams per mole so once we multiply the moles and molar mass through, we get 3 .36 rounds up to 37 times 10 to the negative 4 grams of sodium bicarbonate...

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