/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 82 The reaction of \(750 .\) g each... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The reaction of \(750 .\) g each of \(\mathrm{NH}_{3}\) and \(\mathrm{O}_{2}\) was found to produce \(562 \mathrm{g}\) of \(\mathrm{NO}\) (see pages \(161-162\) ). \(4 \mathrm{NH}_{3}(\mathrm{g})+5 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 4 \mathrm{NO}(\mathrm{g})+6 \mathrm{H}_{2} \mathrm{O}(\ell)\) (a) What mass of water is produced by this reaction? (b) What mass of \(\mathrm{O}_{2}\) is required to consume \(750 . \mathrm{g}\) of \(\mathrm{NH}_{3} ?\)

Short Answer

Expert verified
Molar masses calculated to find moles of reactants.

Step by step solution

01

Calculate the Moles of Reactants and Products

First, find the molar mass of each reactant and product. The molar mass of \(\mathrm{NH}_{3}\) is 17.03 g/mol, \(\mathrm{O}_{2}\) is 32.00 g/mol, \(\mathrm{NO}\) is 30.01 g/mol, and \(\mathrm{H}_{2}\mathrm{O}\) is 18.02 g/mol. Calculate the moles: \(750 \,\text{g} \div 17.03 \,\text{g/mol} = 44.05 \,\text{mol NH}_{3}\), and \(750 \,\text{g} \div 32.00 \,\text{g/mol} = 23.44 \,\text{mol O}_{2}\).

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Chemical Reactions
Understanding chemical reactions involves knowing how substances interact to form new products. Reactions can be represented through balanced chemical equations, which use symbols to show component substances and their quantities. For instance, the reaction we're looking at can be written as: \[4 \text{NH}_3(g) + 5 \text{O}_2(g) \rightarrow 4 \text{NO}(g) + 6 \text{H}_2\text{O}(l)\]This equation tells us that four molecules of ammonia (NH extsubscript{3}) react with five molecules of oxygen (O extsubscript{2}) to produce four molecules of nitrogen monoxide (NO) and six molecules of water (H extsubscript{2}O). Each term in the equation also follows the conservation of mass, where the mass of the reactants equals the mass of the products.
Molar Mass
Molar mass is a key concept in stoichiometry. It refers to the mass of one mole of a substance, expressed in grams per mole. To perform stoichiometric calculations like the ones in the exercise, knowing how to find molar mass is crucial. For example: - Ammonia (NH extsubscript{3}) has a molar mass of 17.03 g/mol. This is calculated by adding the molar masses of nitrogen (approximately 14.01 g/mol) and hydrogen (approximately 1.01 g/mol per atom times three). - Oxygen ( ext{O} extsubscript{2}) has a molar mass of 32.00 g/mol since it is made up of two oxygen atoms, each with a molar mass of 16.00 g/mol. - Nitrogen monoxide (NO) has a molar mass of 30.01 g/mol. - Water (H extsubscript{2}O) has a molar mass of 18.02 g/mol. Using these molar masses, you can convert between grams of a substance and moles, which is an essential step in many chemical calculations.
Limiting Reactants
Limiting reactants determine how much product can be formed in a chemical reaction. In every reaction, the reactants are consumed at different rates based on their balanced chemical equation. The limiting reactant is consumed first, stopping the reaction from continuing. To identify the limiting reactant in this exercise, compare the mole ratio from the balanced equation with the moles present: - From the equation, 4 moles of NH extsubscript{3} react with 5 moles of O extsubscript{2}. - We've calculated there are 44.05 moles of NH extsubscript{3} and 23.44 moles of O extsubscript{2}. By comparing the mole ratios, you can see that oxygen is the limiting reactant because it will run out before ammonia, which has excess.
Mass Calculations
Mass calculations allow us to determine how much product can be obtained from given reactants, considering the reaction's stoichiometry. Let's look at the calculations needed in this exercise:To find the mass of water produced:1. Identify the limiting reactant, which is O extsubscript{2} in this case.2. Use the stoichiometry of the reaction. For every 5 moles of O extsubscript{2}, 6 moles of H extsubscript{2}O are produced.3. Calculate moles of H extsubscript{2}O:\[23.44 \text{ moles O}_2 \times \frac{6 \text{ moles H}_2\text{O}}{5 \text{ moles O}_2} = 28.13 \text{ moles H}_2\text{O}\]4. Convert moles of H extsubscript{2}O to grams:\[28.13 \text{ moles H}_2\text{O} \times 18.02 \text{ g/mol} = 506.70 \text{ g H}_2\text{O}\]Through these calculations, you can find the amount of water produced given the starting amounts of reactants.

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

You have a mixture of oxalic acid, \(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4},\) and another solid that does not react with sodium hydroxide. If \(29.58 \mathrm{mL}\) of \(0.550 \mathrm{M} \mathrm{NaOH}\) is required to titrate the oxalic acid in the 4.554 -g sample to the second equivalence point, what is the mass percent of oxalic acid in the mixture? Oxalic acid and NaOH react according to the equation \(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}(\mathrm{aq})+2 \mathrm{NaOH}(\mathrm{aq}) \rightarrow\) $$ \mathrm{Na}_{2} \mathrm{C}_{2} \mathrm{O}_{4}(\mathrm{aq})+2 \mathrm{H}_{2} \mathrm{O}(\ell) $$

Nickel forms a compound with carbon monoxide, \(\mathrm{Ni}_{x}(\mathrm{CO})_{\gamma}\). To determine its formula, you carefully heat a \(0.0973-\mathrm{g}\) sample in air to convert the nickel to \(0.0426 \mathrm{g}\) of \(\mathrm{NiO}\) and the \(\mathrm{CO}\) to \(0.100 \mathrm{g}\) of \(\mathrm{CO}_{2} .\) What is the empirical formula of \(\mathrm{Ni}_{x}(\mathrm{CO}), 2\)

A The aluminum in a \(0.764 \mathrm{g}\) sample of an unknown material was precipitated as aluminum hydroxide, \(\mathrm{Al}(\mathrm{OH})_{3},\) which was then converted to \(\mathrm{Al}_{2} \mathrm{O}_{3}\) by heating strongly. If \(0.127 \mathrm{g}\) of \(\mathrm{Al}_{2} \mathrm{O}_{3}\) is obtained from the \(0.764-\mathrm{g}\) sample, what is the mass percent of aluminum in the sample?

Black smokers are found in the depths of the oceans (page 110 ). Thinking that the conditions in these smokers might be conducive to the formation of organic compounds, two chemists in Germany found the following reaction could occur in similar conditions. $$ 2 \mathrm{CH}_{3} \mathrm{SH}+\mathrm{CO} \rightarrow \mathrm{CH}_{3} \mathrm{COSCH}_{3}+\mathrm{H}_{2} \mathrm{S} $$ If you begin with \(10.0 \mathrm{g}\) of \(\mathrm{CH}_{3} \mathrm{SH}\) and excess \(\mathrm{CO}\) (a) What is the theoretical yield of \(\mathrm{CH}_{3} \mathrm{COSCH}_{3} ?\) (b) If \(8.65 \mathrm{g}\) of \(\mathrm{CH}_{3} \mathrm{COSCH}_{3}\) is isolated, what is its percent yield?

Preparing Solutions An experiment in your laboratory requires \(500 .\) mL. of a \(0.0200 \mathrm{M}\) solution of \(\mathrm{Na}_{2} \mathrm{CO}_{3} .\) You are given solid \(\mathrm{Na}_{2} \mathrm{CO}_{3},\) distilled water, and a \(500 .\) -mL. volumetric flask. Describe how to prepare the required solution.

See all solutions

Recommended explanations on Chemistry Textbooks

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.