Question

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 gas, if a geiger counter is filled with 1.0620 × 104 Pa of argon gas at room temperature (T = 26.6 C), what is the density of the gas in this geiger tube?

Answer 1

Solution From the ideal gas equation Multiply by density (p) on both side in above equation mass density - volume PXm RxT P pressure m = molar mass of the gas R - gas constant T - temperature

molar mass of 1 mol argon gas is 40x10-kg (1.0620x104 x(40x10-3 8.314x299.75 42.48 x10 2492.12 0.0170x10 -0.170 kg/m3 Hence the density of the gas in Geiger tubeis, 0.170 kg/m3