MHT CET 2025 Physics question
A monoatomic ideal gas, initially at temperature T is enclosed in a cylinder fitted with massless, frictionless piston. By releasing the piston suddenly, the gas is allowed to expand adiabatically to a temperature T. If L and L are the lengths of the gas columns before and after expansion respectively, then (T/T) is given by
Answer: (C)
Solution
For an adiabatic process constant. For a monoatomic gas , so . The volume is proportional to the length of the gas column ( with the same cross-section), so
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