Problem 5.3.4

Statement

5.3.4. The density of a gas was increased threefold, and its temperature was decreased fourfold. How did the number of collisions of molecules per unit time change?

Solution

Answer

Increased by a factor of $$1.5$$

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

5.8.12

5.8: Probability of a thermodynamical state

5.6.16

5.6: First Law of Thermodynamics. Heat capacity

5.5.30

5.5: Equation of state of an ideal gas

5.5.31

5.5: Equation of state of an ideal gas

5.1.9

5.1: Thermal motion of particles

Difficulty

1400 ≈ 15 min

What it costs

Insight Moderate 40

Mathematics Slight 20

Computation Minimal 15

Traps Slight 20

Specialist knowledge Minimal 10

What it repays

Elegance Moderate 50

Novelty Slight 30

Curiosity Moderate 40

Pleasure Moderate 40

kinetic theory of gasescollision frequencyideal gas law

Reveal the key idea

Collision frequency scales with density and average molecular speed proportional to sqrt(temperature).

Readers' rating

No votes yet

Statement

Solution

Answer

Discussion

Views Over Last 14 Days