Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Problem 70

Without per forming detailed calculations, determine the hydrate of \(\mathrm{Na}_{2} \mathrm{SO}_{3}\) that contains almost exactly \(50 \%\) \(\mathrm{H}_{2} \mathrm{O},\) by mass.

Short Answer

Expert verified
The hydrate of \( \mathrm{Na}_{2} \mathrm{SO}_{3} \) that contains almost exactly 50% \( \mathrm{H}_{2} \mathrm{O} \), by mass is \( \mathrm{Na}_{2} \mathrm{SO}_{3} \cdot 7 \mathrm{H}_{2} \mathrm{O} \).

Step by step solution

01

Determine the molar mass of Na2SO3 and H2O

First, we need to calculate the molar mass of Na2SO3 and H2O. We use the periodic table to find the molar masses of the individual elements. The molar mass of Na2SO3 is approximately 126 g/mol (23*2 for two Na atoms, 32 for S, and 16*3 for three O atoms) and the molar mass of H2O is approximately 18 g/mol (1*2 for two H atoms and 16 for O). Notice that we are ignoring some decimal points; this approximation is acceptable assuming the exercise instruction.
02

Apply the ratio analysis for the 50% H2O mass

If the hydrate contains exactly 50% H2O by mass, then for every 'x' grams of Na2SO3, we have 'x' grams of H2O too. Therefore, for every 1 mol (126 grams) of Na2SO3, we have \( \frac{x}{18} \) mols of H2O, where 'x' is the mass of H2O in grams. As 'x' is supposed to be equal to 126 grams, the number of mols of H2O is \( \frac{126}{18} = 7 \).
03

Identify the hydrate

The number of water molecules per molecule of Na2SO3 in the hydrate is given by the number of moles of water. In this case, it is 7. Therefore, the formula of the hydrate is \( \mathrm{Na}_{2} \mathrm{SO}_{3} \cdot 7 \mathrm{H}_{2} \mathrm{O} \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Nitrogen forms five oxides in which its oxidation states are \(+1,+2,+3,+4,\) and \(+5,\) respectively. Write appropriate formulas for these compounds.

The insecticide dieldrin contains carbon, hydrogen, oxygen, and chlorine. When burned in an excess of oxygen, a 1.510 g sample yields \(2.094 \mathrm{g} \mathrm{CO}_{2}\) and \(0.286 \mathrm{g} \mathrm{H}_{2} \mathrm{O} .\) The compound has a molecular mass of 381 u and has half as many chlorine atoms as carbon atoms. What is the molecular formula of dieldrin?

The mineral spodumene has the empirical formula \(\mathrm{LiAlSi}_{2} \mathrm{O}_{6} .\) Given that the percentage of lithium- 6 atoms in naturally occuring lithium is \(7.40 \%,\) how many lithium- 6 atoms are present in a 518 g sample of spodumene?

A 0.732 g mixture of methane, \(\mathrm{CH}_{4}\), and ethane, \(\mathrm{C}_{2} \mathrm{H}_{6},\) is burned, yielding \(2.064 \mathrm{g} \mathrm{CO}_{2} .\) What is the percent composition of this mixture (a) by mass; (b) on a mole basis?

A \(1.562 \mathrm{g}\) sample of the alcohol \(\mathrm{CH}_{3} \mathrm{CHOHCH}_{2} \mathrm{CH}_{3}\) is burned in an excess of oxygen. What masses of \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O}\) should be obtained?
See all solutions

Recommended explanations on Chemistry Textbooks

Kinetics

Read Explanation

Inorganic Chemistry

Read Explanation

Chemistry Branches

Read Explanation

Chemical Analysis

Read Explanation

Physical Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free