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u are given a 30.0g sample of radioactive uranium that has a half-life of 12 hours. How much uranium will be left after 2 days? 1Choice 1 3.75g 2Choice 2 15.0g 3Choice 3 60.0g 4Choice 4 1.88g

User Mhum
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1 Answer

1 vote

Answer:

1.88 g

Step-by-step explanation:

We are given;

  • Mass of a radioactive sample of Uranium as 30.0 g
  • Half life of Uranium sample is 12 hours
  • Time is 2 days

We are required to determine the amount of uranium left after 2 days

  • We are going to use the formula;

N = N₀ × 0.5^n

Where, N is the remaining mass, N₀ is the original mass and n is the number of half lives.

n = (2 × 24) ÷ 12 hours

= 4

Therefore;

Remaining mass, N = 30.0 g × 0.5^4

= 1.875 g

= 1.88 g

Therefore, the mass of the remaining sample after decay is 1.88 g

User Subhash Sharma
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