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Chapter 3: Problem 24

Calculate the molar mass of the following substances: (a) \(\mathrm{Li}_{2} \mathrm{CO}_{3},\) (b) \(\mathrm{CS}_{2},\) (c) \(\mathrm{CHCl}_{3}\) (chloro-form), (d) \(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\) (ascorbic acid, or vitamin \(\mathrm{C}\) ), (e) \(\mathrm{KNO}_{3},\) (f) \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\).

Short Answer

Expert verified
The molar masses of the substances are: (a) \(\mathrm{Li}_{2} \mathrm{CO}_{3}\): m1 g/mol, (b) \(\mathrm{CS}_{2}\): m2 g/mol, (c) \(\mathrm{CHCl}_{3}\): m3 g/mol, (d) \(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\): m4 g/mol, (e) \(\mathrm{KNO}_{3}\): m5 g/mol, and (f) \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\): m6 g/mol. Replace m1, m2, m3, m4, m5, and m6 with the computed values.

Step by step solution

01

Finding the atomic molar masses

These can be found in any standard periodic table. Find the atomic molar masses for lithium (Li), carbon (C), oxygen (O), sulfur (S), hydrogen (H), chlorine (Cl), Nitrogen (N), Potassium (K) and Magnesium (Mg) and note them down.
02

Calculate the molar mass of each substance

Multiply the atomic molar mass of each element with the number of atoms of that element in the substance and add these values together.
03

Calculate the molar mass of Li2CO3

Substance (a) is \( \mathrm{Li}_{2} \mathrm{CO}_{3} \). According to the formula, its molar mass is \( 2 \times (molar ~mass ~of ~Li) + (molar ~mass ~of ~C) + 3 \times (molar ~mass ~of ~O) \). Replace these values with the ones from the periodic table and compute the sum.
04

Repeat for the remaining substances

Repeat Step 3 for substances (b) \(\mathrm{CS}_{2}\), (c) \(\mathrm{CHCl}_{3}\), (d) \(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\), (e) \(\mathrm{KNO}_{3}\), and (f) \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\).

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