MCGRAW: CHEMISTRY THE MOLECULAR NATURE
MCGRAW: CHEMISTRY THE MOLECULAR NATURE
8th Edition
ISBN: 9781264330430
Author: VALUE EDITION
Publisher: MCG
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Chapter 13, Problem 13.162P

(a)

Interpretation Introduction

Interpretation:

The molarity of N2 in blood is to be calculated.

Concept introduction:

Henry’s law gives the quantitative relationship between the pressure of the gas and its solubility. It states that the amount of gas dissolved in a liquid is proportional to the partial pressure of the gas. Higher the partial pressure of the gas, more will be its solubility and vice-versa.

The formula to calculate the solubility of gases according to Henry’s law is as follows:

Sgas=kH×Pgas (1)

Here, Sgas is the solubility of the gas.

kH is Henry’s constant.

Pgas is the partial pressure of the gas.

Molarity is defined as the number of moles of solute that are dissolved in one litre of solution. It is represented by M and its unit is mol/L.

(a)

Expert Solution
Check Mark

Answer to Problem 13.162P

The molarity of N2 in blood is 4.8×104M.

Explanation of Solution

The pressure of the nitrogen gas is calculated as follows:

PN2=(78%100%)(1atm)=0.78atm

Substitute 0.78atm for Pgas and 6.2×104mol/Latm for kH in equation (1).

Sgas=(6.2×104mol/Latm)(0.78atm)=4.836×104mol/L=4.8×104mol/L

The solubility is equal to the molarity so the molarity of nitrogen gas in the blood is 4.8×104M.

Conclusion

The molarity of N2 in blood is 4.8×104M.

(b)

Interpretation Introduction

Interpretation:

The molarity of N2 in blood is to be calculated.

Concept introduction:

The formula to calculate the solubility of gases according to Henry’s law is as follows:

Sgas=kH×Pgas (1)

The formula to calculate the pressure at any height is as follows:

P=hρg (2)

Here h is the height of the substance.

ρ is the density of the solution.

g is the acceleration due to gravity.

The conversion factor to convert ft to inches is as follows:

1ft=12 inch

The conversion factor to convert inches to cm is as follows:

1 inch=2.54 cm

The conversion factor to convert atm to Pa is as follows:

1atm=101325Pa

(b)

Expert Solution
Check Mark

Answer to Problem 13.162P

The molarity of N2 in blood is 1.2×103M.

Explanation of Solution

Substitute 50ft for h, 1g/mL for ρ, 9.80665m/s2 for g in equation (2).

P=(50ft)(12in1ft)(2.54cm1in)(1g1mL)(1mL1cm3)(1cm102m)2(9.80665m1s2)(1Pa1kg/ms2)(1atm1.01325×105Pa)=1.47535atm

The total pressure is calculated as follows:

P=pressure of N2+pressure of water (3)

Substitute 1atm for the pressure of N2, 1.47535atm for the pressure of water in equation (3).

P=pressure of N2+pressure of water=1atm+1.47535atm=2.47535atm

The pressure of the nitrogen gas is calculated as follows:

PN2=(78%100%)(2.47535atm)=1.930773atm

Substitute 1.930773atm for Pgas and 6.2×104mol/Latm for kH in equation (1).

Sgas=(6.2×104mol/Latm)(1.930773atm)=1.18034×103mol/L=1.2×103mol/L

The solubility is equal to the molarity so the molarity of nitrogen is 1.2×103M.

Conclusion

The molarity of N2 in blood is 1.2×103M.

(c)

Interpretation Introduction

Interpretation:

The volume of N2 in blood is to be calculated.

Concept introduction:

The formula of an ideal gas equation is as follows:

PV=nRT (4)

Here, P is the pressure of the gas.

V is the volume of gas.

n is the number of moles of gas.

R is the universal gas constant.

T is the absolute temperature of the gas.

(c)

Expert Solution
Check Mark

Answer to Problem 13.162P

The volume of N2 in blood is 17mL.

Explanation of Solution

Rearrange equation (4) to calculate the volume of gas as follows:

V=nRTP (5)

The formula to calculate the number of moles is as follows:

Moles of N2=initial moles of N2final moles of N2 (6)

Substitute 1.18034×103mol for the initial moles and 4.8×104mol for the final moles in equation (6).

Moles of N2=initial moles of N2final moles of N2=1.18034×103mol4.8×104mol=6.9674×104mol

Substitute 6.9674×104mol for n, 0.0821Latm/molK for R, 25°C for T and 1atm for P in equation (3).

VN2=(6.9674×104mol)(0.0821Latm/molK)((25°C+273.15)K)(1atm)(1mL103L)=17.046L=17L

Conclusion

The volume of N2 in blood is 17mL.

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Chapter 13 Solutions

MCGRAW: CHEMISTRY THE MOLECULAR NATURE

Ch. 13.5 - Prob. 13.6AFPCh. 13.5 - Prob. 13.6BFPCh. 13.6 - Calculate the vapor pressure lowering of a...Ch. 13.6 - Prob. 13.7BFPCh. 13.6 - Prob. 13.8AFPCh. 13.6 - Prob. 13.8BFPCh. 13.6 - Prob. 13.9AFPCh. 13.6 - Prob. 13.9BFPCh. 13.6 - A solution is made by dissolving 31.2 g of...Ch. 13.6 - Prob. 13.10BFPCh. 13.7 - Prob. B13.1PCh. 13.7 - Prob. B13.2PCh. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Which would you expect to be more effective as a...Ch. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10PCh. 13 - Prob. 13.11PCh. 13 - What is the strongest type of intermolecular force...Ch. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - What is the relationship between solvation and...Ch. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.28PCh. 13 - Prob. 13.29PCh. 13 - Prob. 13.30PCh. 13 - Prob. 13.31PCh. 13 - Prob. 13.32PCh. 13 - Prob. 13.33PCh. 13 - Prob. 13.34PCh. 13 - Prob. 13.35PCh. 13 - Use the following data to calculate the combined...Ch. 13 - Use the following data to calculate the combined...Ch. 13 - State whether the entropy of the system increases...Ch. 13 - Prob. 13.39PCh. 13 - Prob. 13.40PCh. 13 - Prob. 13.41PCh. 13 - Prob. 13.42PCh. 13 - Prob. 13.43PCh. 13 - Prob. 13.44PCh. 13 - For a saturated aqueous solution of each of the...Ch. 13 - Prob. 13.46PCh. 13 - Prob. 13.47PCh. 13 - Prob. 13.48PCh. 13 - Prob. 13.49PCh. 13 - Prob. 13.50PCh. 13 - Prob. 13.51PCh. 13 - Prob. 13.52PCh. 13 - Prob. 13.53PCh. 13 - Prob. 13.54PCh. 13 - Prob. 13.55PCh. 13 - Calculate the molarity of each aqueous...Ch. 13 - Calculate the molarity of each aqueous...Ch. 13 - Prob. 13.58PCh. 13 - Calculate the molarity of each aqueous...Ch. 13 - How would you prepare the following aqueous...Ch. 13 - Prob. 13.61PCh. 13 - Prob. 13.62PCh. 13 - Prob. 13.63PCh. 13 - Prob. 13.64PCh. 13 - Prob. 13.65PCh. 13 - Prob. 13.66PCh. 13 - Prob. 13.67PCh. 13 - Prob. 13.68PCh. 13 - Prob. 13.69PCh. 13 - Prob. 13.70PCh. 13 - Prob. 13.71PCh. 13 - Prob. 13.72PCh. 13 - Prob. 13.73PCh. 13 - Prob. 13.74PCh. 13 - Prob. 13.75PCh. 13 - Prob. 13.76PCh. 13 - Prob. 13.77PCh. 13 - Prob. 13.78PCh. 13 - Prob. 13.79PCh. 13 - Prob. 13.80PCh. 13 - Prob. 13.81PCh. 13 - What are the most important differences between...Ch. 13 - Prob. 13.83PCh. 13 - Prob. 13.84PCh. 13 - Prob. 13.85PCh. 13 - Prob. 13.86PCh. 13 - Prob. 13.87PCh. 13 - Prob. 13.88PCh. 13 - Classify each substance as a strong electrolyte,...Ch. 13 - Prob. 13.90PCh. 13 - Prob. 13.91PCh. 13 - Which solution has the lower freezing point? 11.0...Ch. 13 - Prob. 13.93PCh. 13 - Prob. 13.94PCh. 13 - Prob. 13.95PCh. 13 - Prob. 13.96PCh. 13 - Prob. 13.97PCh. 13 - Prob. 13.98PCh. 13 - Prob. 13.99PCh. 13 - The boiling point of ethanol (C2H5OH) is 78.5°C....Ch. 13 - Prob. 13.101PCh. 13 - Prob. 13.102PCh. 13 - Prob. 13.103PCh. 13 - Prob. 13.104PCh. 13 - Prob. 13.105PCh. 13 - Prob. 13.106PCh. 13 - Prob. 13.107PCh. 13 - Prob. 13.108PCh. 13 - Prob. 13.109PCh. 13 - Prob. 13.110PCh. 13 - Prob. 13.111PCh. 13 - In a study designed to prepare new...Ch. 13 - The U.S. Food and Drug Administration lists...Ch. 13 - Prob. 13.114PCh. 13 - Prob. 13.115PCh. 13 - Prob. 13.116PCh. 13 - In a movie theater, you can see the beam of...Ch. 13 - Prob. 13.118PCh. 13 - Prob. 13.119PCh. 13 - Prob. 13.120PCh. 13 - Prob. 13.121PCh. 13 - Gold occurs in seawater at an average...Ch. 13 - Prob. 13.123PCh. 13 - Prob. 13.124PCh. 13 - Prob. 13.125PCh. 13 - Prob. 13.126PCh. 13 - Pyridine (right) is an essential portion of many...Ch. 13 - Prob. 13.128PCh. 13 - Prob. 13.129PCh. 13 - Prob. 13.130PCh. 13 - Prob. 13.131PCh. 13 - Prob. 13.132PCh. 13 - Prob. 13.133PCh. 13 - Prob. 13.134PCh. 13 - Prob. 13.135PCh. 13 - Prob. 13.136PCh. 13 - Prob. 13.137PCh. 13 - Prob. 13.138PCh. 13 - Prob. 13.139PCh. 13 - Prob. 13.140PCh. 13 - Prob. 13.141PCh. 13 - Prob. 13.142PCh. 13 - Prob. 13.143PCh. 13 - The release of volatile organic compounds into the...Ch. 13 - Although other solvents are available,...Ch. 13 - Prob. 13.146PCh. 13 - Prob. 13.147PCh. 13 - Prob. 13.148PCh. 13 - Prob. 13.149PCh. 13 - Prob. 13.150PCh. 13 - Prob. 13.151PCh. 13 - Suppose coal-fired power plants used water in...Ch. 13 - Urea is a white crystalline solid used as a...Ch. 13 - Prob. 13.154PCh. 13 - Prob. 13.155PCh. 13 - Prob. 13.156PCh. 13 - Prob. 13.157PCh. 13 - Prob. 13.158PCh. 13 - Prob. 13.159PCh. 13 - Prob. 13.160PCh. 13 - Prob. 13.161PCh. 13 - Prob. 13.162PCh. 13 - Figure 12.11 shows the phase changes of pure...Ch. 13 - KNO3, KClO3, KCl, and NaCl are recrystallized as...Ch. 13 - Prob. 13.165PCh. 13 - Prob. 13.166PCh. 13 - Prob. 13.167P
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Solutions: Crash Course Chemistry #27; Author: Crash Course;https://www.youtube.com/watch?v=9h2f1Bjr0p4;License: Standard YouTube License, CC-BY