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9. A sample of 20.0 moles of a monatomic ideal gas ( = 1.67) undergoes an adiaba

ID: 3160732 • Letter: 9

Question

9. A sample of 20.0 moles of a monatomic ideal gas ( = 1.67) undergoes an adiabatic process. The initial pressure is and the initial temperature is The final temperature of the gas is What is the heat transfered into or out of the gas? Let the ideal-gas constant R = 8.314 J/(mol • K).

zero (no heat transfer occurs)

54 kJ added to the gas

87 kJ removed from the gas

32 kJ removed from the gas

32 kJ added to the gas

10.

2280 J

2420 J

4850 J

1220 J

485 J

11. An ideal gas changes from a state defined by pressure p1 and volume V1 to a state defined by pressure p2 and volume V2. Which set of properties is independent of the path between the two states?

work and heat transfer involving the gas

heat transfered to or from the gas

change in internal energy of the gas

work performed by or on the gas

2280 J

2420 J

4850 J

1220 J

485 J

11. An ideal gas changes from a state defined by pressure p1 and volume V1 to a state defined by pressure p2 and volume V2. Which set of properties is independent of the path between the two states?

work and heat transfer involving the gas

heat transfered to or from the gas

change in internal energy of the gas

work performed by or on the gas

P 2Pol 217----V %- 2% 0

Explanation / Answer

9. In adiabetic process there is no heat transfer occur so

the heat transfered into or out of the gas will be zero

10. work done by the gas in one cycle = area of the cycle = P0V0 = 4 x 3 atm litre = 12 atm litre

Now 1 atm litre = 101.33 Joule

So work done by the gas in joule = 12 x 101.33 = 1216 J

More appropriate answer will be 1220J

11. Internal energy is the state function and does not depends on path