Problem: A chemist wishing to do an experiment requiring  47Ca2+ (half-life = 4.5 days) needs 5.0 ug of the nuclide. What mass of 47CaCO3 must be ordered if it takes 48 h for delivery from the supplier? Assume that the atomic mass of 47Ca is 47.0 u.

🤓 Based on our data, we think this question is relevant for Professor Cruz's class at USF.

FREE Expert Solution

(1) Calculate rate (k) at first order

k = ln(2)t1/2k = ln(2)4.5 days (24 hrs1 day)

k = 6.42x10-3 hrs-1


(2) t = 48 hours

Initial mass = ??

Mass remaining = 5.0 g

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Problem Details

A chemist wishing to do an experiment requiring  47Ca2+ (half-life = 4.5 days) needs 5.0 ug of the nuclide. What mass of 47CaCO3 must be ordered if it takes 48 h for delivery from the supplier? Assume that the atomic mass of 47Ca is 47.0 u.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Cruz's class at USF.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl 2nd Edition practice problems.