   Chapter 10, Problem 12PS

Chapter
Section
Textbook Problem

A sample of gas occupies 135 mL at 22.5 °C; the pressure is 165 mm Hg. What is the pressure of the gas sample when it is placed in a 252-mL flask at a temperature of 0.0 °C?

Interpretation Introduction

Interpretation:

Given the initial volume, temperature and pressure of a gas and the pressure of the gas at new volume and temperature has to be given.

Concept Introduction:

Different laws have been put forward to introduce properties of gases:

Boyle’s law:

At fixed temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted by the gas.

P1V(n,Twillbeconstant)

Charles’s law: States that volume is directly proportional to temperature when the gas is held at constant pressure and number of molecules.

VT

General Gas Law: Combining Charles’s law and Boyle’s law we get the General gas law or combined gas law.

P1V1T1=P2V2T2

Explanation

From Combined Gas law,

P1V1T1=P2V2T2

Given data:

P1=165mmHgT1=22.5°C=295.7KT2=0°C=273KV1=135mlV2

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