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MMLU-Pro / 4555 / The flashlight battery is a zinc and manganese dioxide (MnO_2) dry cell. The…

Problem

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question

The flashlight battery is a zinc and manganese dioxide (MnO_2) dry cell. The anode consists of a zinc can and the cathode of a carbon rod surrounded by a moist mixture of MnO_2, carbon, ammonium chloride (NH_4Cl_2), and zinc chloride (ZnCl_2). The cathode reaction is written ZMnO_2(s) + Zn^2+ + 2e^- \rightarrow ZnMn_2O_4(s) . If the cathode in a typical zinc and manganese dioxide dry cell contains 4.35g of MnO_2, how long can it deliver a steady current of 2.0 milliamperes (mA) before all its chemicals are exhausted?

category

chemistry

options

  1. 5.4 × 10^6 sec (about 65 days)
  2. 4.8 × 10^6 sec (about 60 days)
  3. 3.0 × 10^6 sec (about 35 days)
  4. 7.2 × 10^6 sec (about 80 days)
  5. 3.6 × 10^6 sec (about 45 days)
  6. 1.2 × 10^6 sec (about 15 days)
  7. 6.0 × 10^6 sec (about 70 days)
  8. 2.4 × 10^6 sec (about 30 days)
  9. 9.6 × 10^6 sec (about 110 days)
  10. 1.8 × 10^6 sec (about 20 days)

src

stemez-Chemistry

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Source and history

upstream_id / Original problem ID
4555
task_id
e8992d37-6401-5a2b-9aec-cf08d55e619d
task_key
default--test--4555
task_revision_id
1
config / split
default / test

Official source

initial import