   Chapter 10.2, Problem 10.4CYU

Chapter
Section
Textbook Problem

You have a 22-L cylinder of helium at a pressure of 150 atm (above atmospheric pressure) and at 31 °C. How many balloons can you fill, each with a volume of 5.0 L, on a day when the atmospheric pressure is 755 mm Hg and the temperature is 22 °C?

Interpretation Introduction

Interpretation:

The number of balloons, each with a volume of 5L has to be found out using the given data.

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

The number of balloons, each with a volume of 5L is to be determined using the concept of Combined gas law can be calculated as

From Combined Gas law,

P1V1T1=P2V2T2

Given data:

P1=150atmP2=755mmHg=0.993atmT1=31°C=304KT2=22°C=295KV1=22L

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