Skip to main content
Ch.20 - Radioactivity and Nuclear Chemistry
Chapter 20, Problem 93

A 1.50-L gas sample at 745 mm Hg and 25.0 °C contains 3.55% radon-220 by volume. Radon-220 is an alpha emitter with a half-life of 55.6 s. How many alpha particles are emitted by the gas sample in 5.00 minutes?

Verified step by step guidance
1
Convert the initial conditions of the gas sample to standard units: pressure in atm and temperature in Kelvin.
Use the ideal gas law, PV = nRT, to calculate the total number of moles of gas in the sample.
Determine the volume percentage of radon-220 in the gas sample and calculate the moles of radon-220 using the percentage given.
Calculate the initial number of radon-220 atoms using Avogadro's number.
Use the half-life of radon-220 to determine the number of alpha particles emitted in 5.00 minutes by applying the decay formula: N(t) = N_0 * (1/2)^(t/half-life).