   # You are given a solid mixture of NaNO 2 and NaCl and are asked to analyze it for the amount of NaNO 2 present. To do so, you allow the mixture to react with sulfamic acid, HSO 3 NH 2 , in water according to the equation NaNO 2 (aq) + HSO 3 NH 2 (aq) → NaHSO 4 (aq) + H 2 O( ℓ ) + N 2 (g) What is the weight percentage of NaNO 2 in 1.232 g of the solid mixture if reaction with sulfa-mic acid produces 295 mL of dry N 2 gas with a pressure of 713 mm Hg at 21.0 °C? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 10, Problem 100IL
Textbook Problem
152 views

## You are given a solid mixture of NaNO2 and NaCl and are asked to analyze it for the amount of NaNO2 present. To do so, you allow the mixture to react with sulfamic acid, HSO3NH2, in water according to the equationNaNO2(aq) + HSO3NH2(aq) →NaHSO4(aq) + H2O(ℓ) + N2(g)What is the weight percentage of NaNO2 in 1.232 g of the solid mixture if reaction with sulfa-mic acid produces 295 mL of dry N2 gas with a pressure of 713 mm Hg at 21.0 °C?

Interpretation Introduction

Interpretation:

The percent composition by mass of NaNO2 in the mixture should be calculated.

Concept Introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas.  Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained.  It is referred as ideal gas equation.

nTPV = RnTPPV = nRTwhere,n = moles of gasP = pressureT = temperatureR = gas constant

Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties.  At lower temperature and at high pressures the gas tends to deviate and behave like real gases.

Boyle’s Law:

At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.

Charles’s Law:

At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.

Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.

### Explanation of Solution

Given:

Total amount of the mixture = 1.232 gVolume of N2=295mL=295×10-3LPressure of N2=713mmHg=713mmHg760mmHg=0.938atmTemperature of N2= 21oC = 273.15K+21=278.15K

First using the ideal gas equation the moles of N2 produced is calculated as follows,

Here, we carry an extra significant figure throughout this calculation to limit rounding errors.

nN2=PVRT =(0.938atm)(295×10-3L)(0.0821L.atmK.mol)(278.15K)=0.01132molN2

From the balanced chemical equation it is clear that one mole of gas gives rise to one mole of N2 hence, the total calculated amount of 0.01132molN2 should be then produced by 0.01132mol of gas present in the given mixture.

Hence, there exists 1:1 mole ratio between N2 and NaNO2 which show that 0.01132mol from the mixture must have reacted.

Let x be the mass of Na2CO3 in the mixture, then (2

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Name the following compounds. a Cu(NO2)3 b (NH4)3P c K2SO3 d Hg3N2

General Chemistry - Standalone book (MindTap Course List)

Some segments of a protein strand coil, somewhat like a metal spring, because a. amino acids at different place...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

A(n) ________ substance repels water. a. acidic b. basic c. hydrophobic d. polar

Biology: The Unity and Diversity of Life (MindTap Course List)

What are the two major divisions of natural science?

An Introduction to Physical Science

What is meant by a half-life?

Chemistry for Today: General, Organic, and Biochemistry

Has anybody drilled into Earths mantle or core to return samples of the densest interior layers?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Despite a reasonably steady hand, a person often spills his coffee when carrying it to his seal. Discuss resona...

Physics for Scientists and Engineers, Technology Update (No access codes included) 