   Chapter 10.2, Problem 10.3CYU

Chapter
Section
Textbook Problem

A balloon is inflated with helium to a volume of 45 L at room temperature (25 °C). If the balloon is cooled to −10 °C, what is the new volume of the balloon? Assume that the pressure does not change.

Interpretation Introduction

Interpretation:

The new volume of the balloon when the temperature changes has to be found out from the given data.

Concept Introduction:

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

VTV=constant×TV1T1=V2T2

Temperature should be in kelvins.

Explanation

The new volume of the gas when the temperature changes from 25°Cto-10°C can be calculated as,

Given data:

V1=45LT1=25°C=25+273=298KT2=-10°C=-10+273=

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