What is the temperature of 0.6 moles of gas at a pressure of 69 mmHg and a volume of 126 mL, in Kelvin?

World of Chemistry, 3rd edition
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ISBN:9781133109655
Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Chapter13: Gases
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What is the temperature of 0.6 moles of gas at a pressure of 69 mmHg and a volume of 126 mL, in Kelvin?
 
Expert Solution
Introduction:

The law obtained using various kinetic theory assumptions and helpful in determining variables (pressure/temperature/volume) for gases is known as "ideal gas law". It is an expression containing all P, V, T and n terms.

Given:

The volume of gas is 126 mL.

The number of moles of gas is 0.6 mol.

The pressure of gas is 69 mmHg.

Calculations:

The ideal gas equation is shown below.

Chemistry homework question answer, step 2, image 1

Here,

The pressure of gas is “P”.

The volume of gas is “V”.

The number of moles of gas is “n”.

The gas constant is “R”.

The temperature is “T”.

 

The value of gas constant is 0.0821 L.atm/K.mol.

 

The conversion of pressure in mmHg to atm is done below.

Chemistry homework question answer, step 2, image 2

 

The conversion of volume in mL to L is done below.

Chemistry homework question answer, step 2, image 3

 

Substitute all known values in equation (I).

Chemistry homework question answer, step 2, image 4

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