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Thermodynamics and Statistical Mechanics MCQs

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1. The first law of thermodynamics is a statement of:





2. The internal energy of an ideal gas depends on:





3. The process in which no heat is exchanged with the surroundings is called:





4. For an ideal gas, the specific heat at constant pressure (Cp) is related to the specific heat at constant volume (Cv) by:





5. The efficiency of a Carnot engine depends on:





6. In a reversible adiabatic process, the work done by an ideal gas is equal to:





7. The second law of thermodynamics states that:





8. An isothermal process is one in which:





9. The entropy change for a reversible process is:





10. The Helmholtz free energy is defined as:





11. The heat added to a system at constant pressure does what to the enthalpy of the system?





12. A process where volume remains constant is called:





13. In an adiabatic process, the temperature of an ideal gas:





14. In a polytropic process, the equation PVⁿ = constant. For n = 1, the process is:





15. The work done in an isobaric process is given by:





16. The efficiency of a Carnot engine is given by:





17. In a refrigerator, the coefficient of performance (COP) is defined as:





18. The Rankine cycle is commonly used in:





19. In an Otto cycle, the efficiency depends on the:





20. The process of heat addition in a Diesel cycle is at:





21. The zeroth law of thermodynamics is related to:





22. The third law of thermodynamics states that the entropy of a perfect crystal at absolute zero temperature is:





23. The Gibbs free energy is defined as:





24. For a spontaneous process at constant temperature and pressure, the change in Gibbs free energy is:





25. The chemical potential is defined as the partial derivative of the Gibbs free energy with respect to:





26. Entropy is a measure of:





27. The entropy of a system increases when:





28. The Gibbs free energy change (ΔG) for a process is negative. This implies that the process is:





29. At equilibrium, the Gibbs free energy of a system is:





30. The change in enthalpy (ΔH) and the change in entropy (ΔS) are related to the change in Gibbs free energy (ΔG) by:





31. The partition function (Z) is a measure of:





32. The Boltzmann constant (k) relates:





33. The average energy of a system in thermal equilibrium is given by:





34. In the canonical ensemble, the probability of a system being in a particular state is proportional to:





35. The equipartition theorem states that each degree of freedom contributes an energy of:





36. Fermi-Dirac statistics apply to particles that are:





37. Bose-Einstein statistics apply to particles that are:





38. The Fermi energy is:





39. Bose-Einstein condensation occurs at:





40. In the context of thermodynamics, an “ideal” gas is one that:





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