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Now In this particular Post of IIT JAM Physics Test Series, you will get a test of the topic The Gas Laws and Laws of Thermodynamics of Chapter Kinetic Theory and Thermodynamics. There are total 15 Questions given below also Answers are attached at the end of the test so that you can verify your answers after completing the test. So, Practice these Questions and Do your Best. Also Solve **IIT JAM Physics Previous Year Question Paper**. And Don’t Forget to Share with Your Friends.

**[Free] IIT JAM Physics Test Series 2023 : Kinetic Theory and Thermodynamics- (The Gas Laws and Laws of Thermodynamics**

**Q1. An ideal gas expands in a process in which its pressure depends on the volume as p = p _{o}e^{-αv} , where p_{o} and α are two positive constants. If n is the number of moles in the gas, the maximum temperature that it will attain in this process is (R is the universal gas constant)**

(a) p_{o}/eαnR

(b) p_{o}/αn^{3}R

(c) ep_{o}/αnR

(d) (p_{o})^{2}/αnR

**Q2. Two identical containers A and B are connected by a small tube with a value that allows gas flow when the pressure difference across it is greater than 0.6 atm. Initially, A contains an ideal gas at pressure 0.5 atm and B a vacuum with the entire system at 27 ^{o}C. The System is now heated to a temperature of 207^{o}C. What is the final Pressure in B ?**

(a) 1 atm

(b) 0.7 atm

(c) 0.4 atm

(d) 0.1 atm

**Q3. One mole of a gas is contained in a closed vessel of volume 0.25 L . It is assumed to obey vander Waal’s equation of 90 atm. As the pressure is increased to 100 atm at 300K, its temperature rises to 325 K . Calculate the value of vander Waal’s constants a and b.**

(a) 1.6 Å

(b) 3.2 Å

(c) 16 Å

(d) 32 Å

**Q4. The critical temperature of a vander Waal’s gas is**

(a) 3b

(b) ^{8a}/_{27Rb}

(c) ^{8a}/_{27b}

(d) ^{a}/_{27b2}

**Q5. If the equilibrium state of the vapour near and above the critical point is described by the Van der Waal equation of state (p+ ^{a}/_{ν2} )(ν-b) = RT, where ν = ^{V}/_{n} is the molar volume, which of the following statements about the critical values of (molar) volume, pressure and temperature at the critical points is true ? **

(a) ∂p/_{∂ν} |_{T=Tc} = 0

(b) ∂p/_{∂ν} |_{T=Tc} = 0 ; ∂^{2}p/_{∂ν2} |_{T=Tc} > 0

(c) ∂p/_{∂ν} |_{T=Tc} = 0 ; ∂^{2}p/_{∂ν2} |_{T=Tc} < 0

(d) ∂p/_{∂ν} |_{T=Tc} = 0 ; ∂^{2}p/_{∂ν2} |_{T=Tc} = 0

**Q6. Calculate vander waal’s constants a and b, if T _{c} = 5.3 K and P_{c} = 2.25 K atm**

(a) 3.59 × 10^{-3} Nm^{4}mol^{-2} and 2.42 × 10^{-5} m^{3}mol^{-1}

(b) 3.59 × 10^{-2} Nm^{4}mol^{-2} and 2.42 × 10^{-3} m^{3}mol^{-1}

(c) 3.59 × 10^{-5} Nm^{4}mol^{-2} and 2.42 × 10^{-5} m^{3}mol^{-1}

(d) 3.59 × 10^{-3} Nm^{4}mol^{-5} and 2.42 × 10^{-3} m^{3}mol^{-1}

**Q7. Scientists make an insulated container to hold 4.0 moles of nitrogen at a pressure of 10 ^{5} Pa and a temperature of 200 K. What is the approximate size of the container ? (1atm = 101 kPa) **

(a) 4 litres

(b) 8 litres

(c) 17 litres

(d) 67 litres

**Q8. If the volume of a closed system containing an ideal gas is held constant and its temperature is increased, the pressure inside the system **

(a) increases

(b) remains constant

(c) decreases

(d) will change based on the chemical nature of the substance inside

**Q9. Two vessels separately contain two ideal gas A and B at the same temperature, the pressure of A being twice that of B. Under these conditions, the density of A is found to be one and half times the density of B. The ratio of molecular weights of A and B is **

(a) ^{1}/_{2}

(b) ^{2}/_{3}

(c) ^{3}/_{4}

(d) 2

**Q10. An ideal gas undergoes a process during which P√V is constant, where P is the pressure and V is the volume of the gas. If volume of the gas decrease to ^{1}/_{4} th of its initial value, then the temperature of the gas will become**

(a) decrease of half of it initial value

(b) increase to double of its initial value

(c) remains constant

(d) increase by four times

**Q11. The relation between pressure and volume of an ideal gas in a reversible process is given by P = aV+b , where a = – ^{31}/_{56} Pascal/meter^{3} , b = ^{255}/_{7} Pascals. The volume at which the temperature attains maximum value is**

(a) 32.9 m^{3}

(b) 329.7 m^{3}

(c) 0.329 m^{3}

(d) 20.7 m^{3}

**Q12. A monoatomic gas is described by the equation of state p(V-bn) = nRT , where b and R are constants and other quantities have their usual meanings. The maximum density (in moles per unit volume) to which this gas can be compressed is **

(a) ^{1}/_{bn}

(b) b

(c) ^{1}/_{b}

(d) infinity

**Q13. Let ΔW be the work done in an infinitesimal reversible process. Which of the following statement is correct ? **

(a) ΔW is a perfect differential only in an adiabatic process

(b) ΔW is not perfect differential for all process

(c) ΔW is a perfect differential for all process

(d) ΔW is a perfect differential only for an isothermal process

**Q14. Let ΔW denote the work done in an infinitesimal quasi static reversible thermodynamics process ΔW**

**is**

(a) not a perfect differential for any process

(b) a perfect differential only for an adiabatic process

(c) a perfect differential for all process

(d) a perfect differential for an isothermal process

**Q15. There are two systems A and B at temperature T _{1} and T_{2} (T_{2} > T_{1}) respectively. They are kept in thermal Equilibrium and their final temperature becomes T_{f} . Which of the following option is correct ?**

(a) T_{1} < T_{f} < T_{2}

(b) T_{1} > T_{f} < T_{2}

(c) T_{f} = (T_{1}+T_{2} )/_{2}

(d) None

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*Answer Key* (if you find any answer wrong, feel free to Correct us)

*Answer Key*

01. | (a) | 06. | (a) | 11. | (a) |

02. | (d) | 07. | (d) | 12. | (c) |

03. | (b) | 08. | (a) | 13. | (a) |

04. | (b) | 09. | (c) | 14. | (a) |

05. | (d) | 10. | (a) | 15. | (b) |

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