Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

When water freezes, it expands by about $9.00 % .$ What pressure increase would occur inside your automobile engine block if the water in it froze? (The bulk modulus of ice is $2.00 \times 10^{9} N / m^{2} .)$

$Δ P = - 1.65 \times 10^{8} N / m^{2}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: To find the pressure increase would occur inside your automobile engine block.

Given:

The initial volume is V_i

The change in volume is $Δ V = 9 % V_{i} = 0.09 V_{i}$

The final volume is $V_{f} = V_{i} + Δ V = V_{i} + 0.09 V_{i} = 1.09 V_{i}$

The bulk modulus is defined as:

$B = \frac{- Δ P}{Δ V / V_{i}}$

Solve for $(Δ P)$ :

$Δ P = - \frac{B Δ V}{V_{i}} = - \frac{B (V_{f} - V_{i})}{V_{i}}$

Substitute numerical values:

$\begin{array}{l} Δ P = - \frac{(2 \times 10^{9}) (0.09 K_{i})}{1.09 K_{i}} = - 1.65 \times 10^{8} N / m^{2} \\ Δ P = - 1.65 \times 10^{8} N / m^{2} \end{array}$

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Physics For Scientists & Engineers

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Short Answer

When water freezes, it expands by about $9.00 % .$ What pressure increase would occur inside your automobile engine block if the water in it froze? (The bulk modulus of ice is $2.00 \times 10^{9} N / m^{2} .)$

Step by Step Solution

Step 1: To find the pressure increase would occur inside your automobile engine block.

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Physics For Scientists & Engineers

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Short Answer

When water freezes, it expands by about 9.00%. What pressure increase would occur inside your automobile engine block if the water in it froze? (The bulk modulus of ice is 2.00×109 N/m2.)

Step by Step Solution

Step 1: To find the pressure increase would occur inside your automobile engine block.

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When water freezes, it expands by about $9.00 % .$ What pressure increase would occur inside your automobile engine block if the water in it froze? (The bulk modulus of ice is $2.00 \times 10^{9} N / m^{2} .)$