The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in SI unit) : [figure]
(3) 5
Over a complete cycle U=0 Q=W= area enclosed (upper semicircle ABC and diameter CA).
[figure]
Radii: 100 cc=10-4 m3 along V, 100 kPa=105 Pa along P
Full circle = (10-4)(105)=10 J
Semicircle = 12 10 =5 J
Answer: (3)
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the correct answer from the options given below :
Match List - I with List - II Choose the correct answer from the options given below:
An ideal gas initially at 0 temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/2, the change in temperature due to the thermodynamic process is K.
Water of mass m gram is slowly heated to increase the temperature from T1 to T2. The change in entropy of the water, given specific heat of water is 1 J kg-1 K-1, is :
[figure] Using the given P-V diagram, the work done by an ideal gas along the path ABCD is :
Given are statements for certain thermodynamic variables, Choose the correct answer from the options given below :
The volume of an ideal gas ( = 1.5) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is :
A sample of 1 mole gas at temperature T is adiabatically expanded to double its volume. If adiabatic constant for the gas is = 32, then the work done by the gas in the process is :
A real gas within a closed chamber at 27 undergoes the cyclic process as shown in figure. The gas obeys PV3 = RT equation for the path A to B. The net work done in the complete cycle is (assuming R = 8 J/mol K): [figure]
Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio VaVd and the ratio VbVc is: [figure]