Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

At what pressure, in atmospheres, would the number of molecules per unit volume in an ideal gas be equal to the number density of the conduction electrons in copper, with both gas and copper at temperature T =300K?

The pressure value that would give the number of molecules per unit volume in an ideal gas equal to the number density of conduction electrons in copper is $3.49 \times 10^{3} atm$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

a) The number of conduction electrons in copper, $n / V = 8.43 \times 10^{28} m^{- 3}$

b) The temperature value, T =300 K

Step 2: Understanding the concept of ideal gas equation

The equation that relates the characteristic properties of an ideal gas is known as Ideal Gas Equation. The ideal gas equation can be given as-

PV=nkT

Here P is the pressure,V is the volume, n id the number of moles and k is the Boltzmann constant.

Step 3: Calculation of the pressure

Using the given condition and data in equation, we can get the value of the pressure in atmospheres as follows:

$P = \frac{n k T}{V} = (8.43 \times 10^{28} m^{- 3}) (1.38 \times 10^{- 23} J / K) (300 K) = 3.49 \times 10^{8} Pa = 3.49 \times 10^{3} atm$

Hence, the value of the pressure is $3.49 \times 10^{3} atm$ .

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Fundamentals Of Physics

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Short Answer

At what pressure, in atmospheres, would the number of molecules per unit volume in an ideal gas be equal to the number density of the conduction electrons in copper, with both gas and copper at temperature T =300K?

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of ideal gas equation

Step 3: Calculation of the pressure

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Fundamentals Of Physics

Answers without the blur.

Short Answer

At what pressure, in atmospheres, would the number of molecules per unit volume in an ideal gas be equal to the number density of the conduction electrons in copper, with both gas and copper at temperature T =300K?

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of ideal gas equation

Step 3: Calculation of the pressure

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