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MMLU-Pro / 9601 / An electric kettle contains 2 liters of water which it heats from 20°C to…

Problem

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

question

An electric kettle contains 2 liters of water which it heats from 20°C to boiling point in 5 min. The supply voltage is 200 V and a kWh (kilowatt-hour) unit costs 2 cents. Calculate (a) the power consumed (assume that heat losses are negligible),(b) the cost of using the kettle under these conditions six times,(c) the re-sistance of the heating element, and (d) the current in the element.

category

physics

options

  1. (a) 3 kW, (b) 3 cents, (c) 20 Ohms, (d) 12 A
  2. (a) 2.5 kW, (b) 2.5 cents, (c) 18.5 Ohms, (d) 11.5 A
  3. (a) 1.8 kW, (b) 2.16 cents, (c) 22 Ohms, (d) 9.1 A
  4. (a) 1.5 kW, (b) 1.5 cents, (c) 15 Ohms, (d) 10 A
  5. (a) 2 kW, (b) 2.4 cents, (c) 16 Ohms, (d) 10.5 A
  6. (a) 2.23 kW, (b) 2.23 cents, (c) 17.9 Ohms, (d) 11.2 A
  7. (a) 1.75 kW, (b) 2.1 cents, (c) 19 Ohms, (d) 11.8 A
  8. (a) 2.1 kW, (b) 2.52 cents, (c) 18 Ohms, (d) 10.8 A
  9. (a) 2.8 kW, (b) 3.36 cents, (c) 14 Ohms, (d) 12.5 A
  10. (a) 2.45 kW, (b) 2.94 cents, (c) 15.5 Ohms, (d) 11 A

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
9601
task_id
de38400b-5a85-50b1-9a08-f1f4bd9e967f
task_key
default--test--9601
task_revision_id
1
config / split
default / test

Official source

initial import