Answer: The 234.74 grams of sample should be ordered.
Explanation:
Let the gram of 114 Ag to ordered be [tex]N_o[/tex]
The amount required for the beginning of experiment = 0.0575 g
Time requires to ship the sample = 4.2hour = 252 min(1 hr = 60 min)
Half life of the sample =[tex]{t_{\frac{1}{2}}[/tex] = 21 min
[tex]\lambda =\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{21 min}=0.033 min^{-1}[/tex]
[tex]\log[N]=\log[N_o]-\frac{\lambda t}{2.303}[/tex]
[tex]\log[0.0575 g]=\log[N_o]-\frac{0.033 min^{-1}\times 252 min}{2.303}[/tex]
[tex]N_o=234.74 grams[/tex]
The 234.74 grams of sample should be ordered.
