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One mole of an ideal gas (γ=1.4) at 500 K, is filled in an adiabatic cylinder with a piston which is free to move against atmospheric pressure as shown. If a non-conducting fan is inserted into the gas space and rotated virgorously, so that the gas expands slowly till its volume gets doubled. If the work done by the fan is 7x kJ, then value of x is . Write upto two digits after the decimal point. (Take R = 8 J/mole.K, neglect heat capacity of the cylinder, piston and the fan). |
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Answer» One mole of an ideal gas (γ=1.4) at 500 K, is filled in an adiabatic cylinder with a piston which is free to move against atmospheric pressure as shown. If a non-conducting fan is inserted into the gas space and rotated virgorously, so that the gas expands slowly till its volume gets doubled. If the work done by the fan is 7x kJ, then value of x is (Take R = 8 J/mole.K, neglect heat capacity of the cylinder, piston and the fan).
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