Consider a container insulated from the environment and divided into two section

Question

Consider a container insulated from the environment and divided into two sections by a very thin, stiff membrane, with n_1 moles of a monatomic gas on one side and n_2 moles of a diatomic gas on the other. The monatomic gas has initial temperature T_1i. The diatomic gas has initial temperature T_2i.

1.0g of helium at an initial temperature of 290K interacts thermally with 5.2g of oxygen at an initial temperature of 490K . What is the final temperature? (Hint: The total thermal energy is conserved, so the initial thermal energy must equal the final thermal energy. However, helium is monoatomic and oxygen is diatomic.)

How much heat energy is transferred?

In which direction heat energy is transferred? O to He, or He to O?

Explanation / Answer

Let final temperature be T =>Change in thermal energy of Oxygen = Change in thermal energy of Helium =>1.5*(1/4)*k*(T-290) = 2.5*(5.2/16)*k*(490-T) =>T-290 = 2.167*(490-T) =>T = 426.842K......Final Temperature Direction of Heat transfer = O to He Heat energy transferred = (1.5)*(1/4)*(6.023*(10^23))*(1.3806488*(10^(-23)))*(426.842-290) = 426.724J

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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