The half-life of titanium-51 is approximately 5.76 minutes.
Step 3 of 3 : How much of a 7 gram sample of titanium- 51 would remain after 4 minutes? Round to three decimal places.
Answer
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Answer
\(\boxed{4.326}\) grams of a 7 gram sample of titanium-51 would remain after 4 minutes.
Step 1 ：Given that the initial amount of the substance \(N_0 = 7\) grams, the time that has passed \(t = 4\) minutes, and the half-life of the substance \(h = 5.76\) minutes.
Step 2 ：We can calculate the final amount of the substance \(N\) using the formula \(N = N_0 \times (1/2)^{t/h}\).
Step 3 ：Substituting the given values into the formula, we get \(N = 7 \times (1/2)^{4/5.76}\).
Step 4 ：Rounding to three decimal places, we find that the final amount of the substance \(N\) is approximately 4.326 grams.
Step 5 ：\(\boxed{4.326}\) grams of a 7 gram sample of titanium-51 would remain after 4 minutes.
