rainbowsavage17
rainbowsavage17 rainbowsavage17
  • 09-06-2021
  • Chemistry
contestada

The radioisotope radon-222 has a half-life of 3.8 days. How much of a 73.9-g sample of radon- (3 222 would be left after approximately 23 days?​

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asuwafohjames
asuwafohjames asuwafohjames
  • 17-06-2021

Answer:

1.115 g

Explanation:

Applying,

R = R'[tex]2^{n/t}[/tex]................... Equation 1

Where R = original sample of radon-222, R' = sample of radon-222 left after decay, n = Total time, t = half-life.

make R' the subject of the equation

R' = R/([tex]2^{n/t}[/tex])............... Equation 2

From the question,

Given: R = 73.9 g, n = 23 days, t = 3.8 days.

Substitute these values into equation 2

R' = 73.9/([tex]2^{23/3.8}[/tex])

R' = 73.9/[tex]2^{6.05}[/tex]

R' = 1.115 g

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