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The internal engine of a $1200-\mathrm{kg}$ car is designed to run on octane $\left(\mathrm{C}_{8} \mathrm{H}_{18}\right),$ whose enthalpy of combustion is $5510 \mathrm{kJ} / \mathrm{mol} .$ If the car is moving up a slope, calculate the maximum height (in meters) to which the car can be driven on 1.0 gallon of the fuel. Assume that the engine cylinder temperature is $2200^{\circ} \mathrm{C}$ and the exit temperature is $760^{\circ} \mathrm{C},$ and neglect all forms of friction. The mass of 1 gallon of fuel is 3.1 kg. [Hint: See the Chemistry in Action essay on p. $790 .$ The work done in moving the car over a vertical distance is $m g h,$ where $m$ is the mass of the car in $\mathrm{kg}, g$ the acceleration due to gravity $\left(9.81 \mathrm{m} / \mathrm{s}^{2}\right),$ and $h$ the height in meters.]

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$$7 .4 \times 10^{3} \mathrm{m}$$

Chemistry 102

Chapter 17

Entropy, Free Energy, and Equilibrium

Thermodynamics

Carleton College

University of Central Florida

University of Maryland - University College

University of Kentucky

Lectures

00:42

In thermodynamics, the zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third system, they are also in thermal equilibrium with each other.

01:47

A spontaneous process is one in which the total entropy of the universe increases. In a spontaneous process, the system will move from an ordered state to a disordered state, such as from ice to water, or from a solid to a gas. The concept of spontaneity was introduced by Rudolf Clausius in 1850.

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The internal engine of a $…

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A car has been fitted with…

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A compact car of mass 900 …

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A compact car of mass $900…

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13.75 Liquid octane $\left…

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Gas used in car's eng…

solution for the above question here. We know efficiency is equal to t two minus Stephen. Divided by t tube. I mean, here we have temperature to is able to do for 73 Kelly and temperature one is equal to 1033 Calvin. Yeah. By putting values in the above mentioned formula, we have value for temperature too. 2473 minus 10 33 Divided by 24 73 is equal to 58 to 3. And here worked in to move. Kane is equal to M g h. So here, by putting values 1200 multiply 9.81 Multiply age he had generated by Okay, okay. Yeah. Case is equal to multiply 3.1. Yeah. Ground divided by multiply. Do I did by anyone? Itchy Multiply one more divided by multiply fire 510 multiplied and rest to the power minus three jewels divided by one more music will, too. 1.5 multiply Can rest to the power eight. Choose frontier. Actual heat generated is equal to efficiency. Multiply. Heat generated is equal 2.5823 multiply 1.5. Multiply tenders to the power. Eight jewels. Wait, you know? Yeah, by energy Balance. Yeah, Yeah. 8.7. Multiply tenders to the power seven is equal to 1200. Multiply 9.81 Multiply edge to add is equal to 7.4 multiply 10 raised to the power three if he can come.

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