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Problem 17 Easy Difficulty

Radon gas has a half - life of 3.83 days. If 3.00 g of radon gas is present at time t 5 0, what mass of radon will remain after 1.50 days have passed?

Answer

2.29 g

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Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Farnaz M.

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Zachary M.

Hope College

Jared E.

University of Winnipeg

Video Transcript

in number 17. We have three gram sample Radan, which has 1/2 life of 3.83 days. And we won't know how much is left after 1.5 days. You can use this equation. Yeah, and peoples original in one. Here. Raise. It's a little Okay, so this is the number of radioactive particles originally, and this is the number after that amount of time. This end is the number of half lives. So even though I'm given Graham's the mass instead of the number off Oh, it's on the radio. I mean, atomic nucleus. What I have whatever I would do here to convert this number two grams is the same thing to do here. So I'm just gonna, like, imagine I cancelled out those conversions and I'm left with this, so this will work out. Um, so my original sample is three grams. This is 1/2 raised to the number of half lives you tell to know the whole half life, it's less than half. Oh, it's 1.5 days out of 3.83 So I'm gonna write that this 1.5 excuse me. Divided by 3.3 and this would turn out to be in the same units as this was Grams. So even though it's not really in, remember, I get 2.29 grams.

University of Virginia
Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Zachary M.

Hope College

Jared E.

University of Winnipeg