Q. 7.91 - An Introduction to General, Organic, and Biological Chemistry

Question

Calculate the molar mass for each of the following: ($7.2$)

a. data-custom-editor="chemistry" ${\mathrm{ZnSO}}_4$, zinc sulfate, zinc supplement

b. data-custom-editor="chemistry" $\mathrm{Ca}{\left({\mathrm{IO}}_3\right)}_2$, calcium iodate, iodine source in table salt

c. data-custom-editor="chemistry" ${\mathrm{C}}_5{\mathrm{H}}_8{\mathrm{NNaO}}_4$,monosodium glutamate, flavor enhancer

d. data-custom-editor="chemistry" ${\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_2$,isoamyl formate, used to make artificial fruit syrups

Step-by-Step Solution

Answer

(a) The molar mass of given compound is $161.48 \mathrm{g}/\mathrm{mole}$

(b) The molar mass of given compound is $389.9 \mathrm{g}/\mathrm{mole}$

(c) The molar mass of given compound is $169.11 \mathrm{g}/\mathrm{mole}$

(d) The molar mass of given compound is $116.16 \mathrm{g}/\mathrm{mole}$

Part (a) Step 1: Given information

We need to find the molar mass of ${\mathrm{ZnSO}}_4$

Part (a) Step 2: Explanation

We know that

Molar mass of zinc is, $65.38 \mathrm{g}/\mathrm{mole}$

And molar mass of sulfur is, $32 \mathrm{g}/\mathrm{mole}$

And molar mass of oxygen is, $16 \mathrm{g}/\mathrm{mole}$

Therefore, required molar mass is,

$65.38 \raisebox{1ex}{$\mathrm{g}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{mol} $}\right.+32 \raisebox{1ex}{$\mathrm{g}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{mol} $}\right.+\left(4\times 16\right) \raisebox{1ex}{$\mathrm{g}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{mol} $}\right.=161.48 \mathrm{g}/\mathrm{mole}$

Part (b) Step 1: Given information

We need to find the molar mass of $\mathrm{Ca}{\left({\mathrm{IO}}_3\right)}_2$

Part (b) Step 2: Explanation

We know that

Molar mass of calcium is, $40 \mathrm{g}/\mathrm{mole}$

And molar mass of iodine is, $126.9 \mathrm{g}/\mathrm{mole}$

And molar mass of oxygen is, $16 \mathrm{g}/\mathrm{mole}$

Therefore, required molar mass is,

$40 \raisebox{1ex}{$\mathrm{g}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{mol} $}\right.+2\times \left(126.9+\left(3\times 16\right)\right) \raisebox{1ex}{$\mathrm{g}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{mol} $}\right.=389.9 \mathrm{g}/\mathrm{mole}$

Part (c) Step 1: Given information

We need to find the molar mass of ${\mathrm{C}}_5{\mathrm{H}}_8{\mathrm{NNaO}}_4$

Part (c) Step 2: Explanation

We know that

Molar mass of hydrogen is, $1 \mathrm{g}/\mathrm{mole}$

And molar mass of carbon is, $12 \mathrm{g}/\mathrm{mole}$

And molar mass of oxygen is, $16 \mathrm{g}/\mathrm{mole}$

And molar mass of nitrogen is, $14 \mathrm{g}/\mathrm{mole}$

And molar mass of sodium is $23 \mathrm{g}/\mathrm{mole}$

Therefore, required molar mass is,

$169.11 \mathrm{g}/\mathrm{mole}$

Part (d) Step 1: Given information

We need to find the molar mass of ${\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_2$

Part (d) Step 2: Explanation

We know that

Molar mass of hydrogen is, $1 \mathrm{g}/\mathrm{mole}$

And molar mass of carbon is, $12 \mathrm{g}/\mathrm{mole}$

And molar mass of oxygen is, $16 \mathrm{g}/\mathrm{mole}$

Therefore, required molar mass is,

$116.16 \mathrm{g}/\mathrm{mole}$