Vane 6.8 Temperature dependence of effusion Molecules of a gas enclosed within a

Question

Vane 6.8 Temperature dependence of effusion Molecules of a gas enclosed within a container effuse through a small hole into a surrounding vacuum. Suppose that the absolute temperature of the gas in the container is doubled while its pressure is kept constant. (a) By what factor does the number of molecules escaping per second through the hole change? (b) By what factor does the force change which is exerted on a vane suspended at some distance in front of the hole? Fig. 6.16 An effusing beam impinging upon a vane.

Explanation / Answer

Ans for both (a) and (b) According to Graham's law rate of effusion is inversely proportional to square root of mass and temperature. when increasing the temperature, kinetic energy of the gas molecules increases and also more velocity. So, no of molecules per unit volume decreases and hence density is lower. So molecules with less molecular weight move with more faster through the hole. So both factors, mass or density, and velocity do the change of number molecules inside and outside of the container and force exerted on a vane, respectively.

Related Questions

Navigate

• Browse (All)
• Browse V
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.