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How may alpha particles are admitted by 222^Rn monoatomic gas?

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How many alpha particles are emitted per minute by 1cm^3 of 222^Rn monoatamic gas at a temperature of 27 degrees Celsius and a pressure of 100 kPa? Make use of PV=NkT where P=pressure of the gas, V=volume of the gas, N-number of atoms in the gas, T=temperature of the gas in kelvin, and k=Boltzman's constant = 1.38 x 10^ - 23 J K^-1. The half-life of 222^Rn is 3.8235 days.

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