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The molecular mass of helium is 4 g/mol, the Boltzmann’s constant is 1.38066 × 10−23 J/K,...

The molecular mass of helium is 4 g/mol, the Boltzmann’s constant is 1.38066 × 10−23 J/K, the universal gas constant is 8.31451 J/K · mol, and Avogadro’s number is 6.02214 × 1023 1/mol. Given: 1 atm = 101300 Pa.

A: How many atoms of helium gas are required to fill a balloon to diameter 29 cm at 57◦C and 1.171 atm?

B: What is the average kinetic energy of each helium atom? Answer in units of J.

C: What is the rms speed of each helium atom? Answer in units of m/s.

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