MEDIUM
JEE Main / Advanced
IMPORTANT
Earn 100

One of the straight lines in the figure depicts the dependence of the work done on the temperature variations for an isobaric process. The other two are the adiabatic curves for argon and nitrogen. Which straight line corresponds to which process? How should one depict an isotherm and an isochor in these coordinates? Bear in mind that on the horizontal axis we lay off the difference between the higher and the lower temperature.

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Important Questions on Molecular Physics and Thermodynamics

HARD
JEE Main / Advanced
IMPORTANT

For temperatures close to room temperature and somewhat higher, the molar heat capacity of hydrogen agrees, with good accuracy, with the results predicted by the classical theory of heat capacity for ideal gases, a theory that allows for three translational and two rotational degrees of freedom for diatomic gases. However, at low temperatures the heat capacity of hydrogen drops and at about 40 K becomes the same as that of a monatomic gas. What is the explanation for this? Why such behavior is not observed in other diatomic gases?

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HARD
JEE Main / Advanced
IMPORTANT

When diatomic gases are heated, their heat capacity exhibits a peak in the high-temperature region. Similar behavior is observed in multiatomic gases. What is the explanation for this?

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HARD
JEE Main / Advanced
IMPORTANT
Draw a rough sketch for the compressibility of an ideal gas as a function of pressure for two cases, one when the gas is compressed isothermically and the other when the gas is compressed adiabatically.
HARD
JEE Main / Advanced
IMPORTANT

A gas is transferred from a state 1 to a state 2 by two processes: (a) first by an isochor and then by an isobar, and (b) first by an isobar and then by an isochor. Will the work done in both cases be the same, will the amount of heat required in the processes be the same, and will the increment of entropy in the processes be the same?

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HARD
JEE Main / Advanced
IMPORTANT
Draw the Carnot cycle for a monatomic gas on the log-log scale using the pT - and VT-coordinates.
HARD
JEE Main / Advanced
IMPORTANT

A gas is transferred from an initial state 0 to other states 1, 2, 3, and 4 via different isoprocesses. Which curve representing the dependence of entropy on temperature corresponds to which process?

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HARD
JEE Main / Advanced
IMPORTANT
Draw the Carnot cycle in the ST-coordinates.
HARD
JEE Main / Advanced
IMPORTANT
Two objects with initial temperatures T1 and T2 (with T1>T2) are brought into contact. The objects are isolated from their surroundings, and the masses and heat capacities of the two objects are equal. How does the total entropy of these objects change as the temperatures become equal?