A vessel of vloume `125 cm^3` contains tritium `(`^3H,t_(1//2)=12.3 y)` at 500 kPa and 300 k. Calculate the activity of the gas.

Answer

B, C, D

Explanation

Given ` V = 125 cm^(3) = 0.125L, `
` P = 500 Kpa = 5 atm `
` T = 300 K,`
` t_(1/2) = 12.3 ` year
` = 3.82 xx 10^(8) ` sec.
` :. N = n xx 6.023 xx 10^(23)`
` = (5 xx 0.125)/(8.2 xx 10 ^(-2) xx 3 xx 10^(2)) xx 6.023 xx 10^(23) `
`= 1.5 xx 10^(22) `atoms.
`lambda = (0.693)/( 3.82 xx 10^(6)) `
` = 0.1814 xx 10^(-8) = 1.81 xx 10^(-9) s^(-1) `
`:. Activity = lambda N `
`= 1.81 xx 10^(-9) xx 1.5 xx 10^(22) xx 10^(13)`
`disintegration//sec`
`= (2.7 xx 10^(13))/(3.7 xx 10^10) Ci = 727 Ci` .