   Chapter 10, Problem 11PS

Chapter
Section
Textbook Problem

You have a sample of gas in a flask with a volume of 250 mL. At 25.5 °C, the pressure of the gas is 360 mm Hg. If you decrease the temperature to ‒5.0 °C, what is the gas pressure at the lower temperature?

Interpretation Introduction

Interpretation:

Given the initial volume, temperature and pressure of a gas in a flask, the pressure of the gas at new 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,vwillbeconstant)

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=360mmHgP2=?T1=25.5°C=298.5KT2=-33°C=268KV1=250mlV2

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