[填空题]
The half-life, T, in days, f:m4il 8k t.irof a radiodzh8r,9vpn /-d:ko q d hy,oyhs4b69oactive isotope can be modelled by the functionhdon4, kv9qhp yzdso9b:h/y d, -6or8 $\frac{\ln{0.5}}{\ln{1-\frac{k}{100}}}$,0
where k is the decay rate, in percent, per day of the isotope.
1.The decay rate of Gold-196 is 6.2 % per day. Find its half-life.
T(6.2)≈ days
The half-life of Phosphorus-32 (P-32) is 14.3 days. A sample containing 120 grams of P-32 is produced and stored in a biochemistry laboratory.
2.Find the decay rate per day of P-32.
Solving the equation T(k)=14.3 for k, we obtain k= %
3.Find the amount of P-32 left in the sample after:
3.1.
14.3 days; grams
3.2.
50 days. $u_{51}$≈ grams
