Thermodynamics (Physics)

A quasi-static cycle of a monoatomic ideal gas contains an isothermal process (ab), followed by an isochoric process (bc) and an adiabatic process (ca) as shown in the figure. The volumes of the gas are V1 and V2 at a and b, respectively. If the cycle has heat input Qin and output Qout, then the efficiency of the cycle is defined as = Qin - QoutQin. The correct statement(s) is/are: [Given: 2 0.7] [figure]

1. If V2/V1 = 8, the heat released in the process bc is smaller than the heat absorbed in the process ab.
2. For a given value of V2/V1, does not depend on the temperature of the isothermal process.
3. If V2/V1 = 8, then the temperature of the gas at a is 4 times the temperature of the gas at c.
4. If V2/V1 = 8, then the pressure of the gas at a is 4 times the pressure of the gas at b.

Ten moles of an ideal monoatomic gas, initially in state a at atmospheric pressure and temperature Ta=27 , is enclosed in a metal cylinder of volume V0 fitted with a frictionless piston. The gas is suddenly compressed to state b with volume V0/3. Now, keeping the piston stationary, the cylinder is submerged in a water bath of temperature 11 until the gas reaches the temperature of the water bath, which is denoted as state c. Finally, while still in the water bath, the piston is brought slowly to its initial position, which is denoted as state f. If R is universal gas constant, then the correct option(s) is/are: [Given: 91/3=2.08]

1. The schematic P-V diagram of the processes described above is: [figure]
2. The change in internal energy in going from state a to b is 4860R.
3. The net change in the internal energy in the whole process is -240R.
4. The pressure and temperature of the state b are 2.08 times the atmospheric pressure and 624 K, respectively.

An ideal monatomic gas of n moles is taken through a cycle WXYZW consisting of consecutive adiabatic and isobaric quasi-static processes, as shown in the schematic V-T diagram. The volume of the gas at W, X and Y points are, 64 cm3, 125 cm3 and 250 cm3, respectively. If the absolute temperature of the gas TW at the point W is such that nRTW=1 J (R is the universal gas constant), then the amount of heat absorbed (in J) by the gas along the path XY is [figure]