Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN: 9781285199047
Author: John W. Moore, Conrad L. Stanitski
Publisher: Cengage Learning
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Chapter 4, Problem 123QRT
Interpretation Introduction

Interpretation:

The miles of travelled by a taxi so that decreased fuel cost would balance the added cost of modified taxi’s motor has to be calculated.

Expert Solution & Answer
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Answer to Problem 123QRT

The miles travelled by taxi are approximately 400,000 miles.

Explanation of Solution

First, the octane in milliliters is determined.

    Volume 1 gal×4 quart1 gal×1.00×10-3 m31.056710 quart×(100 cm1 m)3×1 mL1 cm3= 3.79 ×103 mL

The energy released from combustion of one gram of octane is calculated as follows,

    2C8H18(l) + 25O2(g)16CO2(g) + 18H2O(g) ΔrHo=10992 kJC8H18(l) + 252O2(g)8CO2(g) + 9H2O(g) ΔrHo=5496 kJmol C8H18 5496 kJ produced 1 molC8H18×1 molC8H18114.2278 g C8H18    = 48.11 kJg C8H18[Molar mass of propane = 114.2278 g/mol]

    48.11 kJ produced1 g C8H18×0.703 g C8H181 mLC8H18×3.79×103 mL1 gal= 1.28×105 kJgal 1.28×105 kJgal×1 gal C8H18$ 3.50= 3.66 ×104kJ$

The reaction enthalpy for combustion of propane is determined as follows,

    C3H18(g)+5O2(g)3CO2(g)+4H2O(g)ΔrHo = 3ΔfHo[CO2(g)]+4ΔfHo[H2O(g)]-{ΔfHo[C3H18(g)]+5ΔfHo[O2(g)]}         = 3[-393.509 kJ/mol]+4[-241.818kJ/mol]-[-103.8kJ/mol]-5[0kJ/mol]          = -2044.0kJ

    2044 kJ produced1 mol C3H8×1 mol C3H844.0953 g C3H8= 46.354 kJg C3H8 46.354 kJ produced1 g C3H8×0.531 g C3H81 mLC3H8×3.79×103 mL1 gal×1 galC3H8$2.50  = 3.73×104kJ$

The energy required for taxi to travel per mile is determined as follows,

Consider the taxi gets average of 15.0 miles per gallon using gasoline.

  1.28×105 kJ1 gal×1 gal15.0 miles  = 8.53×103kJmiles

Then the cost of fuel used per mile is determined.

    1 gal gasoline15.0 miles×$3.501 gal gasoline  = $ 0.233miles

Assume the modified taxi also used same energy per mile the fuel cost for travelling one mile using propane is shown as follows,

    8.53×103 kJ1 miles×$13.73×104 kJ  = $ 0.229miles

The miles required to recouped with the conversion cost is shown as follows,

    $2000×1 mile$0.005= 400,000 miles

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Chapter 4 Solutions

Chemistry: The Molecular Science

Ch. 4.5 - Prob. 4.6PSPCh. 4.5 - Prob. 4.6ECh. 4.5 - Assume you have 1 cup of ice (237 g) at 0.0 C....Ch. 4.6 - Prob. 4.9CECh. 4.6 - Prob. 4.10CECh. 4.6 - Prob. 4.11ECh. 4.6 - The reaction enthalpy for sublimation of 1 mol...Ch. 4.6 - Prob. 4.12ECh. 4.6 - Prob. 4.8PSPCh. 4.7 - Prob. 4.13CECh. 4.7 - Prob. 4.14CECh. 4.8 - Prob. 4.9PSPCh. 4.8 - Prob. 4.15CECh. 4.8 - Prob. 4.10PSPCh. 4.8 - Prob. 4.16CECh. 4.8 - Prob. 4.17ECh. 4.9 - When iron is obtained from iron ore, an important...Ch. 4.10 - Write an appropriate thermochemical expression in...Ch. 4.10 - Prob. 4.18CECh. 4.10 - Prob. 4.13PSPCh. 4.10 - Use data from Table 4.2 to calculate the standard...Ch. 4.11 - Prob. 4.15PSPCh. 4.11 - Correlate the fuel values and caloric values...Ch. 4.11 - Prob. 4.20ECh. 4.11 - Prob. 4.21ECh. 4 - Prob. 1QRTCh. 4 - For each situation, define a system and its...Ch. 4 - What is the value of the standard formation...Ch. 4 - Prob. 4QRTCh. 4 - Prob. 5QRTCh. 4 - Name two exothermic processes and two endothermic...Ch. 4 - Prob. 7QRTCh. 4 - Prob. 8QRTCh. 4 - (a) A 2-inch piece of two-layer chocolate cake...Ch. 4 - Prob. 10QRTCh. 4 - Melting lead requires 5.50 cal/g. Calculate how...Ch. 4 - Prob. 12QRTCh. 4 - Prob. 13QRTCh. 4 - Prob. 14QRTCh. 4 - Prob. 15QRTCh. 4 - Analyze transfer of energy from one form to...Ch. 4 - Prob. 17QRTCh. 4 - Suppose that you are studying kinetic energy of...Ch. 4 - Solid ammonium chloride is added to water in a...Ch. 4 - Prob. 20QRTCh. 4 - Prob. 21QRTCh. 4 - Prob. 22QRTCh. 4 - Prob. 23QRTCh. 4 - Prob. 24QRTCh. 4 - Prob. 25QRTCh. 4 - Prob. 26QRTCh. 4 - The specific heat capacity of benzene, C6H6, is...Ch. 4 - The specific heat capacity of carbon...Ch. 4 - Prob. 29QRTCh. 4 - Prob. 30QRTCh. 4 - A piece of iron (400. g) is heated in a flame and...Ch. 4 - Prob. 32QRTCh. 4 - Prob. 33QRTCh. 4 - Prob. 34QRTCh. 4 - Prob. 35QRTCh. 4 - Prob. 36QRTCh. 4 - Prob. 37QRTCh. 4 - Prob. 38QRTCh. 4 - Prob. 39QRTCh. 4 - Calculate the quantity of heating required to...Ch. 4 - Prob. 41QRTCh. 4 - Prob. 42QRTCh. 4 - Prob. 43QRTCh. 4 - Prob. 44QRTCh. 4 - Prob. 45QRTCh. 4 - Calcium carbide, CaC2, is manufactured by reducing...Ch. 4 - Prob. 47QRTCh. 4 - Prob. 48QRTCh. 4 - Prob. 49QRTCh. 4 - Given the thermochemical expression CaO(s) + 3C(s)...Ch. 4 - Prob. 51QRTCh. 4 - Prob. 52QRTCh. 4 - Isooctane (2,2,4-trimethylpentane), one of the...Ch. 4 - Prob. 54QRTCh. 4 - Gasohol, a mixture of gasoline and ethanol,...Ch. 4 - White phosphorus, P4, ignites in air to produce...Ch. 4 - Prob. 57QRTCh. 4 - Prob. 58QRTCh. 4 - Which molecule, HF, HCl, HBr, or HI, has the...Ch. 4 - Which molecule, F2, Cl2, Br2, or I2, has the...Ch. 4 - For the reactions of molecular hydrogen with...Ch. 4 - Prob. 62QRTCh. 4 - A diamond can be considered a giant all-carbon...Ch. 4 - Prob. 64QRTCh. 4 - Prob. 65QRTCh. 4 - Prob. 66QRTCh. 4 - Prob. 67QRTCh. 4 - A 0.692-g sample of glucose, C6H12O6, is burned in...Ch. 4 - Benzoic acid, C7H6O2, occurs naturally in many...Ch. 4 - Prob. 70QRTCh. 4 - Prob. 71QRTCh. 4 - Prob. 72QRTCh. 4 - Three reactions very important to the...Ch. 4 - Prob. 74QRTCh. 4 - Prob. 75QRTCh. 4 - Prob. 76QRTCh. 4 - Prob. 77QRTCh. 4 - Prob. 78QRTCh. 4 - We burn 3.47 g lithium in excess oxygen at...Ch. 4 - Prob. 80QRTCh. 4 - Prob. 81QRTCh. 4 - Prob. 82QRTCh. 4 - The reaction enthalpy for oxidation of styrene,...Ch. 4 - Oxygen is not normally found in positive oxidation...Ch. 4 - Iron can react with oxygen to give iron(III)...Ch. 4 - The formation of aluminum oxide from its elements...Ch. 4 - Prob. 87QRTCh. 4 - If you want to convert 56.0 g ice (at 0 °C) to...Ch. 4 - Prob. 89QRTCh. 4 - Prob. 90QRTCh. 4 - Prob. 91QRTCh. 4 - Prob. 92QRTCh. 4 - Prob. 93QRTCh. 4 - Prob. 94QRTCh. 4 - Prob. 95QRTCh. 4 - Prob. 96QRTCh. 4 - Prob. 97QRTCh. 4 - Prob. 98QRTCh. 4 - Prob. 99QRTCh. 4 - Prob. 100QRTCh. 4 - Prob. 101QRTCh. 4 - Prob. 102QRTCh. 4 - Prob. 103QRTCh. 4 - Prob. 104QRTCh. 4 - Prob. 105QRTCh. 4 - Prob. 106QRTCh. 4 - The specific heat capacity of copper is 0.385 J g1...Ch. 4 - Consider this graph, which presents data for a...Ch. 4 - Prob. 109QRTCh. 4 - The sketch shows two identical beakers with...Ch. 4 - Prob. 111QRTCh. 4 - Prob. 112QRTCh. 4 - Prob. 113QRTCh. 4 - Prob. 114QRTCh. 4 - Prob. 115QRTCh. 4 - Prob. 116QRTCh. 4 - Prob. 117QRTCh. 4 - Prob. 118QRTCh. 4 - Prob. 119QRTCh. 4 - Prob. 120QRTCh. 4 - Prob. 121QRTCh. 4 - Prob. 122QRTCh. 4 - Prob. 123QRTCh. 4 - Prob. 124QRTCh. 4 - Prob. 4.ACPCh. 4 - Prob. 4.BCPCh. 4 - Prob. 4.CCPCh. 4 - Prob. 4.DCPCh. 4 - Prob. 4.ECPCh. 4 - Prob. 4.FCP
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