Problem 5.3.14

Statement

5.3.14. In a rarefied gas, a heated body cools in time $$t$$ . How long will a body of the same material take to cool if all its linear dimensions are increased by a factor of $$n$$ ? with the surface of a solid body $^{*)}$

Solution

Answer

$${t}' = nt$$

Contributed by astrosander Last edited Sep 28, 2026 All edits

Found an error, or something not working?

Discussion

◀

5.3: Collisions of molecules. Transfer processes

▶

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Easier Harder Not in English Unsolved How this is scored

Related Problems

5.7.7

5.7: Gas flow

5.10.18

5.10: Phase transitions

5.2.1

5.2: Distribution of gas molecules by velocity

5.5.25

5.5: Equation of state of an ideal gas

5.2.8

5.2: Distribution of gas molecules by velocity

Difficulty

1100 ≈ 20 min

What it costs

Insight Moderate 40

Mathematics Minimal 15

Computation Minimal 5

Traps Slight 25

Specialist knowledge Slight 20

What it repays

Elegance High 60

Novelty Moderate 40

Curiosity Moderate 50

Pleasure High 60

heat transfersurface area to volume ratiothermal equilibriumbasic thermodynamics

Reveal the key idea

Heat loss rate scales with surface area; heat content with volume.

Readers' rating

No votes yet

Statement

Solution

Answer

Discussion

Views Over Last 14 Days