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Thermodynamics

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Q.

An insulated container is divided into two equal portions. One portion contains an ideal monoatomic gas at pressure P and temperature T, while the other portion is a perfect vacuum. If a hole is opened between the two portions, then change in internal energy of the gas is

Q.

A cyclic process is shown in the figure. For the process AB which of the following statement is correct?

                                                

Q.

A gaseous mixture consists of 2 moles of  and 4 moles of Ar at a temperature T. Neglecting all vibrational moles, the total internal energy of the system is

Q.

A point on P-V diagram represents:

Q. An ideal gas expands in such a manner that its pressure and volume can be related by equation PV2 = constant. During this process, the gas is?

For an isothermal process, PV = constant and for the given process PVV = constant.
Therefore the gas is cooled because volume expands by a greater exponent than in an isothermal process.

Q. A gas has?

A gas can have any value of specific heat ranking from zero to infinity. For an isothermal change taking place in a gas, C is infinity, while for an adiabatic change, C is zero.

Q. If a monoatomic gas undergoes a thermodynamic process for which its molar heat capacity is equal to the universal gas constant. The process in terms of V and T is?

given C =R

dQ / ndT = R

(nCvdT + dW )/ ndT = R

Cv + pdV/ ndT = R

Cv = 3R /2

put in previous equation you will get

pdV / ndT = - R /2

using ideal gas p/n = RT / V

therefore RT / V*dV /dT = -R /2

dV / V = dT / 2T

integrate this equation , you will get

V T1/2 = contant

Q. The first law of thermodynamics incorporates the concepts of?

Conservation of energy and Equivalence of heat and work.

Q. How can i decide whether the cyclic process is clockwise or anticlockwise?

On a pressure volume diagram or temperature entropydiagram, the clockwise and counterclockwise directions ,If the cycle goes clockwise, the system does work ( i.e volume increase ) and vice -versa.