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Thermodynamics Quiz

Dear Readers,

Important topics for Thermodynamics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with the day-to-day experiences.

Q1. A thermodynamic process is shown in Fig. The pressures and volumes corresponding to some points in the figure are, P_A=3×10^4 Pa,V_A=2×10^(-3) m^3, P_B=8×10^4 Pa,V_D=5×10^(-3) m^3. In process AB, 600 J of heat and in process BC, 200 J of heat is added to the system. The change in the internal energy in process AC would be
:
  •  560 J
  •  800 J
  •  600 J
  •  640 J
Solution


Q2.A vessel contains 1 mole of O_2 gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing one mole of He gas (molar mass 4) at a temperature2 T has a pressure of:
  •  P/8
  •  P
  •  2P
  •  8P
Solution
.


Q3.  The internal energy of 3 moles of hydrogen at temperature T is equal to the internal energy of n moles of helium at temperature T/ 2. The value of n is (assume hydrogen and helium to behave like ideal gases):
  •   5
  •  10
  •  3/2
  •  6
Solution

Q4. Figure shows a cyclic process. When a given mass of a gas is expanded from state A to state B, it absorbs 30J of heat energy. When the gas is adiabatically compressed from state B to state A, the work done on the gas is 50 J. The change in internal energy of the e gas in the process A→B is
  •  80 J
  •  20 J
  •  -20 J
  •  -50 J
Solution


Q5. During an adiabatic process, the pressure of a gas is proportional to the cube of its absolute temperature. The value of C_p/C_v for that gas is:
  •  3/5
  •  4/3
  •  5/3
  •  3/2
Solution
 


Q6. A monoatomic ideal gas, initially at temperature T_1 , is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T_2 by releasing the pison suddenly. If L_1 and L_2 are the lengths of the gas column before and after expansion respectively, then T_1/T_2 is given by
  •  
  •  
  •  
Solution


Q7. In a given process on an ideal gas, dW=0and dQ<0 .="" for="" gas:="" span="" the="" then="">
  •  The temperature will decrease
  •  The volume will increase
  •  The pressure will remain constant
  •  The temperature will increase
Solution


Q8. Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move, while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is:
  •  30 K
  •  18 K
  •  50 K
  •  42 K
Solution


Q9. Two identical containers A and B fitted with frictionless pistons contain the same idal gas at the same temperature and the same volume V. The mass of the gas in A is m_A and that in B is m_B. The gas in each cylinder is now allowed to expand isothermally to the same final volume 2V. The changes in pressure in A and B are found to be ∆P and 1.5 ∆P respectively. Then:
  •  
  •  
  •  
  •  
Solution


Q10. The equation of state corresponding to 8 g of O_2 is (assume O_2 to be an ideal gas):
  •  PV = 8RT
  •  PV = RT/4
  •  PV = RT
  • PV = RT/2
Solution

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