Try the fastest way to create flashcards
Question

A 1 500-kg car is moving at 20.0 m/s. The driver brakes to a stop. The brakes cool off to the temperature of the surrounding air, which is nearly constant at 20.0C^ { \circ } \mathrm { C }. What is the total entropy change?

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 5

1 Concepts and Principles

1- The kinetic energy\textbf{kinetic energy} of an object of mass m\color{#c34632}{m} moving with a speed v\color{#c34632}{v} is defined as:

K=12mv2\begin{equation*} K=\dfrac{1}{2}mv^2\tag{1} \end{equation*}


2- The entropy change\textbf{entropy change} ΔS\textcolor{#c34632}{\Delta S} for an irreversible process that takes a system from an initial state i\textcolor{#c34632}{i} to a final state f\textcolor{#c34632}{f} is equal to the entropy change ΔS\textcolor{#c34632}{\Delta S} for any reversible process that takes the system between those same two states:

ΔS=ifdQT\begin{equation*} \Delta S=\int_{i}^{f}\dfrac{dQ}{T}\tag{2} \end{equation*}

For a reversible isothermal process, the previous equation reduces to:

ΔS=QT\begin{equation*} \Delta S=\dfrac{Q}{T}\tag{3} \end{equation*}

where Q\textcolor{#c34632}{Q} is the energy transferred as heat to or from the system during the process and T\textcolor{#c34632}{T} is the temperature of the system in kelvins during the process.

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (8 more)Randall D. Knight
3,508 solutions
Introduction to Electrodynamics 4th Edition by David J. Griffiths

Introduction to Electrodynamics

4th EditionISBN: 9780321856562 (3 more)David J. Griffiths
956 solutions
Introduction to Quantum Mechanics 3rd Edition by Darrell F. Schroeter, David J. Griffiths

Introduction to Quantum Mechanics

3rd EditionISBN: 9781107189638Darrell F. Schroeter, David J. Griffiths
485 solutions
Physics for Scientists and Engineers 9th Edition by John W. Jewett, Raymond A. Serway

Physics for Scientists and Engineers

9th EditionISBN: 9781133947271John W. Jewett, Raymond A. Serway
6,027 solutions

More related questions

1/4

1/7