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Map Sapling Learning macmillan learning A geiger-muller tube is a type of gas-fi

ID: 1874671 • Letter: M

Question

Map Sapling Learning macmillan learning A geiger-muller tube is a type of gas-filled radiation detector. It can detect particles like X-rays, alpha particles and beta rays (electrons). This is useful in quantizing the activity of a radioactive source or determining if an area containing radioactive material is safe to enter. Assuming that you have one mole of as, if a geiger counter is filled with 10534 Pa of argon gas at room temperature T 25.5 C), what is the ensity of the gas in this geiger tube? Number p15.108 g/cm

Explanation / Answer

given

n = 1 mole

P = 10534 pa

T = 25.5 C

= 25.5 + 273

= 298.5 K

let V is the volume of the giger tube

use, P*V = n*R*T

V = n*R*T/P

= 1*8.314*298.5/10534

= 0.2356 m^3

mass of the gas = n*Na*mass of each atom

= 1*6.023*10^23*40*1.67*10^-27

= 0.040 kg

so density = mass/volume

= 0.04/0.2356

= 0.170 kg/m^3

= 0.17*10^-3 g/cm^3

= 1.7*10^-4 g/cm^3

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