General, Organic, and Biological Chemistry
General, Organic, and Biological Chemistry
7th Edition
ISBN: 9781285853918
Author: H. Stephen Stoker
Publisher: Cengage Learning
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Chapter 7, Problem 7.30EP
Interpretation Introduction

Interpretation:

Based on Charles’s law, the blanks in the table by using the given condition has to be filled.

Concept Introduction:

Charles’s Law tells that the relationship between temperature and volume of a gas.  The law states that at constant pressure the volume of a fixed amount of gas is directly proportional to the temperature in Kelvin units.  The mathematical expression for the relationship between volume and Kelvin temperature according to the Charles’s law can be shown as follows,

V1T1=V2T2

  Where,

V1=Thevolumeofagasatagivenpressure.T1=TheKelvintemperatureofthegas.V2=Thevolumeofthegasunderanewsetofconditions.T2=TheKelvintemperatureofthegasunderanewsetofconditions.

Expert Solution & Answer
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Answer to Problem 7.30EP

Based on Charles’s law, by using the given conditions, the blanks in the table is filled as follows.

V1T1V2T2
2.00L27ºC4.00L327ºC
a3.30L165ºC4.05L265ºC
b7.90L270ºC4.45L33ºC
c2.78L227ºC4.50L535ºC
d4.21L35ºC4.351L45ºC

Explanation of Solution

(a)

Record the given data,

V1=3.30LT1=165°Cconvertedto438KV2=?T2=265°Cconvertedto538K

Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,

V2=V1×T2T1

V2=3.30L×538K438K=4.05L.

Therefore, the new volume under the new conditions is 4.05L.

(b)

Record the given data,

V1=7.90LT1=270°Cconvertedto543KV2=4.45LT2=?

Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,

T2=T1×V2V1

T2=4.45L×543K7.90L=306K.

The obtained temperature is in Kelvin units so convert it into degree Celsius units as follows,

T273°C

306K273=33°C

Therefore, the new temperature in degree Celsius under the new conditions is 33°C.

(c)

Record the given data,

V1=?T1=227°Cconvertedto500KV2=4.50LT2=535°Cconvertedto808K

Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,

V1=V2×T1T2

V1=4.50L×500K808K=2.78L.

Therefore, the initial volume under the new conditions is 2.78L.

 (d)

Record the given data,

V1=4.21LT1=?V2=4.35LT2=45°Cconvertedto318K

Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,

T1=T2×V1V2

T1=4.21L×318K4.35L=308K.

The obtained temperature is in Kelvin units so convert it into degree Celsius units as follows,

T273°C

308K273=35°C

Therefore, the initial temperature in degree Celsius under the new conditions is 127°C.

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Chapter 7 Solutions

General, Organic, and Biological Chemistry

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