How Many Hydrogen Molecules Are in 1cm³ of a Balloon?

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To find the number of hydrogen molecules in 1 cm³ of a balloon containing 1 gram of hydrogen gas, the molar mass of hydrogen is used, which is 2 g/mol. Given that the balloon has a volume of 4 liters, calculations based on the ideal gas law (pV=nRT) lead to a final result of approximately 7.5 x 10^19 molecules per cm³. The discussion also touches on the definition of a mole, emphasizing its relevance in calculating the number of molecules. Understanding these concepts is crucial for solving gas-related problems in chemistry. The calculations confirm the high density of hydrogen molecules in a small volume.
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Homework Statement


In the balloon with volume 4 liters, is 1 gram of hydrogen. How molecules of this gas as found in 1cm3, if the molar mass of hydrogen is 2g/mol?

Homework Equations


pV=nRT

The Attempt at a Solution


in my book the solution final is 7.5*10^19 molecules/cm^3
 
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lindi said:

Homework Statement


In the balloon with volume 4 liters, is 1 gram of hydrogen. How molecules of this gas as found in 1cm3, if the molar mass of hydrogen is 2g/mol?

Homework Equations


pV=nRT

The Attempt at a Solution


in my book the solution final is 7.5*10^19 molecules/cm^3
What's the definition of a mole?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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