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Match the following columns. {:(,"Colu...

Match the following columns.
`{:(,"ColumnI",, "ColumnII"),((A),Inp=2/3E","Eis,(p),"isochoric"),((B),In U =3RT "for and monotomic gas"U is,(q),"Translational kinetic energy of unit volume"),((C),V/T= "constant is valid for",(r), "Internal energy of one mole"),((D), p/T= "constant is associated with",(s),"isobaric process"):}`

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The correct Answer is:
To solve the matching question, we will analyze each item in Column I and find the corresponding item in Column II. ### Step-by-Step Solution: 1. **Match A: Inp = 2/3E** - This equation relates pressure (p) and energy (E) in an isobaric process. In an isobaric process, the pressure remains constant while the volume changes. - **Match:** A → (s) isobaric process 2. **Match B: In U = 3RT for a monoatomic gas** - The internal energy (U) of a monoatomic ideal gas is given by the equation U = (3/2)nRT, where n is the number of moles. For one mole, this simplifies to U = 3RT. - **Match:** B → (r) Internal energy of one mole 3. **Match C: V/T = constant is valid for** - This relationship is valid for an ideal gas undergoing an isothermal process, where the volume (V) and temperature (T) are inversely related. - **Match:** C → (q) Translational kinetic energy of unit volume 4. **Match D: p/T = constant is associated with** - This relationship is known as Gay-Lussac's law, which states that for a given mass of gas at constant volume, the pressure is directly proportional to the temperature. - **Match:** D → (p) Isochoric process ### Final Matches: - A → (s) isobaric process - B → (r) Internal energy of one mole - C → (q) Translational kinetic energy of unit volume - D → (p) Isochoric process

To solve the matching question, we will analyze each item in Column I and find the corresponding item in Column II. ### Step-by-Step Solution: 1. **Match A: Inp = 2/3E** - This equation relates pressure (p) and energy (E) in an isobaric process. In an isobaric process, the pressure remains constant while the volume changes. - **Match:** A → (s) isobaric process ...
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