The half-life of tungsten-177 is 132 min.After 180 minutes,you have 302 mg left.How much material must you have started out with?

Question

Quizplus · Accepted Answer

Using the formula for half-life, we can calculate the fraction of remaining material after 180 minutes:

(1/2)^(180/132) = 0.188

This means that we have 0.188 times the original amount of material after 180 minutes. To find the original amount, we can divide the final amount (302 mg) by 0.188:

302 mg / 0.188 = 1606.38 mg

Therefore, the original amount of material must have been 1606.38 mg, which is closest to answer choice C (777 mg).

The Half-Life of Tungsten-177 Is 132 Min