Concept explainers
Interpretation: The pressure in each given chamber of
Concept Introduction:The expression relating the pressure, P, volume, V with number of moles, n and temperature, T of an ideal gas is:
Where R is Universal gas constant.
Answer to Problem 164CP
Explanation of Solution
Given:
Two sample of gases, one of pure helium and the other is pure radon, separated in two rectangular 1.00 L chambers by thin metal wall.
Temperature for both the samples =
A circular hole is developed of radius
Converting temperature from degree Celsius to Kelvin as:
The ratio of number of moles to volume (which is equal for both the gases as temperature is same) is calculated using ideal gas equation as:
Converting this value from
Calculating the area,
Where r is radius.
Substituting the values:
Now, the number of collisions is calculated using formula:
Where,
The number of collisions for He will be:
The number of collisions for Rn will be:
The rate of collisions is assumed to be constant, so, the number of molecules transferred into another chamber is:
Now, the original amount of gas is calculated using ideal gas equation as:
Side that began with He now contains:
Total moles are:
So, the final pressure of He in container is:
Side that began with Rn now contains:
Total moles are:
So, the final pressure of Rn in container is:
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Chapter 5 Solutions
CHEM.PRINC.W/OWL2+REBATE+2 SUPPL.>IP<
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