Interpretation: The mass of helium in the balloon needs to be determined.
Concept Introduction: For a gas, pressure, volume, number of moles, and temperature are related to each other as follows:
Here, P is pressure, n is the number of moles, R is the Universal gas constant, and T is temperature.
Explanation of Solution
The relation between the number of moles, mass, and molar mass is as follows:
Here, m is mass and M is molar mass.
The volume of the balloon filled with helium is
From the above-given information, the number of moles of helium can be calculated as follows:
Or,
Here, the temperature is always taken in K; thus, the given temperature in K will be:
Substitute the values,
Or,
Now, the molar mass of He is 4.002 g/mol; thus, the mass of He will be:
Substitute the values,
Therefore, the mass of He gas is 41.89 g.
Chapter 14 Solutions
Chemistry 2012 Student Edition (hard Cover) Grade 11
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