A vessel of `831 cc` contains `._(1)^(3)H` atm and `27^(@)C`. If half life of `._(1)^(3)H` is `12.3` years then the activity of the gas is

Options

A. `3.04 xx 10^(13)dps`
B. `582 Ci`
C. `2.15 xx 10^(13)dps`
D. `823 Ci`

Answer

B, C

Explanation

Number of moles of gas `n = (PV)/(RT) = ((0.6 xx 10^(5))(831xx10^(-6)))/((8.31)(300)) = 0.02`
Activity `= lambdaN = ((0.693)nN_(A))/(T_(1//2)) = ((0.693)(0.02)(6.02 xx 10^(23)))/(12.3 xx 3.15 xx 10^(7)) = 2.15 xx 10^(13)` dps `= (2.15 xx 10^(13))/(3.7 xx 10^(10)) = 582 C`