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Adiabatic constant of gas is 3/2. If volume of gas initially at \({0}^{\mathrm{o}}\mathrm{C}\) is reduced to one-fourth …

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Adiabatic constant of gas is 3/2. If volume of gas initially at \({0}^{\mathrm{o}}\mathrm{C}\) is reduced to one-fourth of the original volume then new temperature is (memory based jee mains shift-1 23/01/2025)

a

\(0\mathrm{K}\)

b

\(273\mathrm{K}\)

c

\({546}^{\mathrm{o}}\mathrm{C}\)

d

\(546\mathrm{K}\)

✓ Correct answer: d)

\(546\mathrm{K}\)

Explanation

In an adiabatic process, where no heat is exchanged, the relationship between temperature (T) and volume (V) for an ideal gas is given by:
T V(γ - 1) = constant, Here, γ (gamma) Adiabatic constant of gas.

T2 =546 K

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