Actinium-227 has a half life of #8 x 10^3# days, decaying by a #alpha#-emission. Suppose that the helium gas originating from the alpha particles were collected. What volume of helium at 25°C and 748 mmHg could be obtained from 1.00 g after 100 years?
Half life equation is:
Substitute 21.9 years for t:
Starting with 1 gram:
Evaluate at t = 100 years:
However we actually want the difference in moles (not grams)
Convert the temperature to Kelvin:
Convert mmHg to kPa: