1. The average molecular velocity of gas molecules in Kinetic Theory is I have two balloons...

1. The average molecular velocity of gas molecules in Kinetic Theory is I have two balloons of the same kind. I fill both balloons to the same pressure and temperature, one with hydrogen and the other with Helium. The molecular mass of Hydrogen is 2g/mol and that of Helium is 4g/mol. From your understanding of the kinetic theory of gas: a. Consider the momentum transferred to balloon wall from molecular collisions. Is it higher for the Hydrogen balloon or the Helium balloon. Why? b. Which of these balloons has the higher mean molecular velocity? Why? c. Which of these balloons has more molecules in it? Why? d. Which of these balloons weigh more? Why? e. Derive the expression of the pressure on the balloon wall in terms of kinetic theory

Solutions

Expert Solution

The pressure and temperature of both the balloons are same. Considering the volume of both balloons same too.

So, moles of hydrogen in balloon 1 is equal to moles of helium in balloon 2.

a) The momentum transferred to balloon wall will be higher for hydrogen balloon, as it has higher mean molecular velocity.

B) Hydrogen balloon has higher mean molecular velocity due to lower molecular mass.

C) Both the balloons have same moles of gases, so both the balloons have same number of molecules.

D) The balloon with helium gas will weigh more, since 1 mole of He has higher weight than 1 mole of H.

queen_honey_blossom answered 1 year ago

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