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MMLU-Pro / 3796 / You are a chemist employed by a geological company to date the age of rocks by…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

You are a chemist employed by a geological company to date the age of rocks by radioactive testing. You are told by an assistant that the sample he just handed to you contains a substantial quantity of ^40Ar. Through analysis you discover the sample contains 3 percent K (by weight), that there is 95.0 × 10^-7 (m^3 of / kg sample)^40Ar at STP, and the ^40Ar / ^36Ar ratio is an incredible 75,200. Determine the age of the sample. How do you do it? The percent abundance of ^40K is 0.0118.

category

chemistry

options

  1. 5.80 × 10^9 y
  2. 6.80 × 10^9 y
  3. 4.50 × 10^9 y
  4. 8.25 × 10^9 y
  5. 9.00 × 10^9 y
  6. 10.00 × 10^9 y
  7. 7.10 × 10^9 y
  8. 6.50 × 10^9 y
  9. 7.50 × 10^9 y
  10. 8.00 × 10^9 y

src

stemez-PhysicalChemistry

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Source and history

upstream_id / Original problem ID
3796
task_id
012cd076-ddb1-57e6-bc6c-d0118de8c7d9
task_key
default--test--3796
task_revision_id
1
config / split
default / test

Official source

initial import