Thermodynamics An ideal diatomic gas is in a temperature range where its molecul

Question

Thermodynamics

An ideal diatomic gas is in a temperature range where its molecules can exhibit rotation but not vibration. The gas undergoes an adiabatic compression. Its initial pressure and volume are 1.10 atm and 0.100 m^3. Its final pressure is 3.30 atm. How much work is done on the gas in this compression? 4. A space probe that has travelled very far from the Earth and Sun and is now in deep space. It has a 100 W thermal energy source. The surface of the probe is perfectly black and has an area of 6.0 m^2. The power source is internal to the space probe. (a) What is the (steady state) temperature of the space probe as described above? (b) What is the temperature of the space probe if a thin thermal shield (also black) surrounds the space probe? The shield is attached close to the probe's surface by a number of thermally insulating supports. Between the shield and the probe's surface is a vacuum. 5. A sample of n = 2.00 moles of a monatomic gas initially at pressure P_i = 4.50 kPa and 550 K from initial volume V_i = 1.50 m^3 to final volume V_f = 3.00 m^3. At all times during the expansion, the pressure P and volume V of the gas are related by P = k exp[(V_i - V)/a], with P in kilopascals, V_i and V in cubic meters, k = 4.00 and a = 1.00 m^3. (a) What are the final pressure of the gas? (b) What is the temperature of the gas? (Give your answer both as a number, and in terms of T_i.) (c) How much work is done on the gas during this expansion? (d) What is DeltaS for the expansion?

Explanation / Answer

Q3.
Convert pressure into pascal.

We do not know the final volume,
So,
P1V1^r = P2V2^r
or
111458*(0.100)^1.67 = 334373(V2)^1.67
=> V2 = 0.0517963 m^3

W = - dU
= - nCvdT
= -nCv[P2V2/RnT - P1V1/Rn]
= -3/2 [P2V2 - P1V1]
= -3/2 [334373*0.0517963 - 111458*(0.100) ]
= -9260.2 J

Please post other questions separately.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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