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MMLU-Pro / 9591 / A camper stranded in snowy weather loses heat by wind convection. The camper is…

Problem

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

question

A camper stranded in snowy weather loses heat by wind convection. The camper is packing emergency rations consisting of 58%58 \% sucrose, 31%31 \% fat, and 11%11 \% protein by weight. Using the data provided in Problem P4.32 and assuming the fat content of the rations can be treated with palmitic acid data and the protein content similarly by the protein data in Problem P4.32, how much emergency rations must the camper consume in order to compensate for a reduction in body temperature of $3.5 \mathrm{~K}$ ? Assume the heat capacity of the body equals that of water. Assume the camper weighs $67 \mathrm{~kg}$.
Plain-text mathematical notation (without MathML)
A camper stranded in snowy weather loses heat by wind convection. The camper is packing emergency rations consisting of 58% sucrose, 31% fat, and 11% protein by weight. Using the data provided in Problem P4.32 and assuming the fat content of the rations can be treated with palmitic acid data and the protein content similarly by the protein data in Problem P4.32, how much emergency rations must the camper consume in order to compensate for a reduction in body temperature of $3.5 \mathrm{~K}$ ? Assume the heat capacity of the body equals that of water. Assume the camper weighs $67 \mathrm{~kg}$.
Original LaTeX notation
A camper stranded in snowy weather loses heat by wind convection. The camper is packing emergency rations consisting of $58 \%$ sucrose, $31 \%$ fat, and $11 \%$ protein by weight. Using the data provided in Problem P4.32 and assuming the fat content of the rations can be treated with palmitic acid data and the protein content similarly by the protein data in Problem P4.32, how much emergency rations must the camper consume in order to compensate for a reduction in body temperature of $3.5 \mathrm{~K}$ ? Assume the heat capacity of the body equals that of water. Assume the camper weighs $67 \mathrm{~kg}$.

category

physics

options

  1. 55 g
  2. 44 $\mathrm{~g}$
  3. 40 g
  4. 70 g
  5. 30 g
  6. 65 g
  7. 35 $\mathrm{~g}$
  8. 49 $\mathrm{~g}$
  9. 25 g
  10. 60 $\mathrm{~g}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9591
task_id
07eca045-f86f-5e84-bc35-b68b0b45ea09
task_key
default--test--9591
task_revision_id
1
config / split
default / test

Official source

initial import