EBK GENERAL CHEMISTRY: THE ESSENTIAL CO
EBK GENERAL CHEMISTRY: THE ESSENTIAL CO
7th Edition
ISBN: 8220106637203
Author: Chang
Publisher: YUZU
Question
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Chapter 5, Problem 5.72QP
Interpretation Introduction

Interpretation:

The highest root-mean-square speed has to be predicted

Concept introduction:

Average kinetic energy: Average kinetic energy of the gas molecules is proportional to the temperature of the gas in kelvins.

  • Average kinetic energy of a molecule is given by,

KE¯=12mu2¯=CT

Where, m is the mas of molecule

u is the speed

C is proportionality constant

T is absolute temperature

According to the equation, the absolute temperature of a gas is a measure of the average kinetic energy of the molecules. Higher the temperature, the molecules are highly energetic. Thus, random molecular motion is referred to as thermal motion.

Root-Mean-Square speed:

One of the results of the kinetic theory of gases is that the total kinetic energy of a mole of any gas equals 32RT. The average kinetic energy of one molecule is 12mu2¯.

So,

KE¯=32RTNA(12mu2¯)=32RT

Where,

NA is Avogadro’s number

m is mass of a single molecule.

As known, NAm=M

Where,

M is molar mass.

This equation can be arranged to give,

u2¯=urms=3RTM

Taking the square root of both sides gives,

u2¯=urms=3RTM(1)

The unit of each term in the equation (1) is,

Where, R is proportionality constant called gas constant (J/mol.K)

M is molar mass (Kg/mole)

T is temperature (K)

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Chapter 5 Solutions

EBK GENERAL CHEMISTRY: THE ESSENTIAL CO

Ch. 5.5 - Prob. 1PECh. 5.5 - Prob. 2PECh. 5.5 - Prob. 1RCCh. 5.6 - Prob. 1PECh. 5.6 - Prob. 2PECh. 5.6 - Prob. 1RCCh. 5.7 - Prob. 1PECh. 5.7 - Prob. 1RCCh. 5 - Prob. 5.1QPCh. 5 - Prob. 5.2QPCh. 5 - Prob. 5.3QPCh. 5 - Prob. 5.4QPCh. 5 - Prob. 5.5QPCh. 5 - 5.6 Describe what would happen to the column of...Ch. 5 - Prob. 5.7QPCh. 5 - 5.8 Is the atmospheric pressure in a mine that is...Ch. 5 - 5.9 What is the difference between a gas and a...Ch. 5 - Prob. 5.10QPCh. 5 - Prob. 5.11QPCh. 5 - Prob. 5.12QPCh. 5 - Prob. 5.13QPCh. 5 - 5.14 The atmospheric pressure at the summit of Mt....Ch. 5 - 5.15 State the following gas laws in words and...Ch. 5 - Prob. 5.17QPCh. 5 - Prob. 5.18QPCh. 5 - 5.19 A gas occupying a volume of 725 mL at a...Ch. 5 - 5.20 At 46°C a sample of ammonia gas exerts a...Ch. 5 - Prob. 5.21QPCh. 5 - Prob. 5.22QPCh. 5 - Prob. 5.23QPCh. 5 - Prob. 5.24QPCh. 5 - Prob. 5.25QPCh. 5 - Prob. 5.26QPCh. 5 - Prob. 5.27QPCh. 5 - Prob. 5.28QPCh. 5 - Prob. 5.29QPCh. 5 - Prob. 5.30QPCh. 5 - Prob. 5.31QPCh. 5 - Prob. 5.32QPCh. 5 - Prob. 5.33QPCh. 5 - Prob. 5.34QPCh. 5 - Prob. 5.35QPCh. 5 - 5.36 The temperature of 2.5 L of a gas initially...Ch. 5 - Prob. 5.37QPCh. 5 - Prob. 5.38QPCh. 5 - Prob. 5.39QPCh. 5 - Prob. 5.40QPCh. 5 - Prob. 5.41QPCh. 5 - Prob. 5.42QPCh. 5 - Prob. 5.43QPCh. 5 - Prob. 5.44QPCh. 5 - Prob. 5.45QPCh. 5 - Prob. 5.46QPCh. 5 - Prob. 5.47QPCh. 5 - Prob. 5.48QPCh. 5 - Prob. 5.49QPCh. 5 - Prob. 5.50QPCh. 5 - Prob. 5.51QPCh. 5 - Prob. 5.52QPCh. 5 - Prob. 5.53QPCh. 5 - Prob. 5.54QPCh. 5 - Prob. 5.55QPCh. 5 - Prob. 5.56QPCh. 5 - Prob. 5.57QPCh. 5 - Prob. 5.58QPCh. 5 - Prob. 5.59QPCh. 5 - Prob. 5.60QPCh. 5 - Prob. 5.61QPCh. 5 - Prob. 5.62QPCh. 5 - Prob. 5.63QPCh. 5 - Prob. 5.64QPCh. 5 - Prob. 5.65QPCh. 5 - Prob. 5.66QPCh. 5 - Prob. 5.67QPCh. 5 - Prob. 5.68QPCh. 5 - 5.69 What does the Maxwell speed distribution...Ch. 5 - Prob. 5.70QPCh. 5 - Prob. 5.71QPCh. 5 - Prob. 5.72QPCh. 5 - Prob. 5.73QPCh. 5 - Prob. 5.74QPCh. 5 - Prob. 5.75QPCh. 5 - Prob. 5.76QPCh. 5 - Prob. 5.78QPCh. 5 - 5.79 Write the van der Waals equation for a real...Ch. 5 - Prob. 5.80QPCh. 5 - Prob. 5.81QPCh. 5 - Prob. 5.82QPCh. 5 - 5.83 Discuss the following phenomena in terms of...Ch. 5 - Prob. 5.84QPCh. 5 - Prob. 5.85QPCh. 5 - Prob. 5.86QPCh. 5 - Prob. 5.87QPCh. 5 - 5.88 Identify the Maxwell speed distribution...Ch. 5 - Prob. 5.89QPCh. 5 - Prob. 5.90QPCh. 5 - Prob. 5.91QPCh. 5 - Prob. 5.92QPCh. 5 - Prob. 5.93QPCh. 5 - Prob. 5.94QPCh. 5 - Prob. 5.95QPCh. 5 - Prob. 5.96QPCh. 5 - Prob. 5.97QPCh. 5 - Prob. 5.98QPCh. 5 - Prob. 5.99QPCh. 5 - Prob. 5.100QPCh. 5 - Prob. 5.101QPCh. 5 - Prob. 5.102QPCh. 5 - Prob. 5.104QPCh. 5 - Prob. 5.105QPCh. 5 - Prob. 5.106QPCh. 5 - Prob. 5.107QPCh. 5 - Prob. 5.108QPCh. 5 - Prob. 5.109QPCh. 5 - Prob. 5.110QPCh. 5 - Prob. 5.111QPCh. 5 - Prob. 5.112QPCh. 5 - Prob. 5.113QPCh. 5 - Prob. 5.114QPCh. 5 - Prob. 5.115QPCh. 5 - Prob. 5.116QPCh. 5 - Prob. 5.117QPCh. 5 - 5.118 Apply your knowledge of the kinetic theory...Ch. 5 - Prob. 5.119SPCh. 5 - Prob. 5.120SPCh. 5 - Prob. 5.121SPCh. 5 - Prob. 5.122SPCh. 5 - Prob. 5.123SPCh. 5 - Prob. 5.124SPCh. 5 - Prob. 5.125SPCh. 5 - Prob. 5.126SPCh. 5 - Prob. 5.127SPCh. 5 - Prob. 5.128SP
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