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Same number of moles of monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, each is compressed till their pressure becomes twice the initial pressure then. (1) If the compression is isothermal then their final volumes will be different (2) If the compression is adiabatic, then their final volume will be same (3) If the compression is adiabatic, then triatomic gas will have minimum final volume (4) If the compression is adiabatic then diatomic gas will have maximum final volume
(3) If the compression is adiabatic, then triatomic gas will have minimum final volumesimply do calculations and achieve the answer
Option 1. Final volumes will be the same even if the gases are different, in case of isothermal compression. So it's the wrong choice. Option 2. If the compression is adiabatic, the final volume will depend on their adiabatic constants, which are different. Therfore final volume of the three gases will not be the same. Option 2 is incorrect. Option 3. In adiabatic compression, the final volume is inversely proportional to 2^(gamma). So the gas having maximum value of adiabatic constant (gamma) shall have minimum volume ultimately. Hence option (3) is the correct choice. Option 4. In light to the above fact, the gas having minimum adiabatic constant would have maximum final volume i. e. mono atomic gas, not diatomic. Hence this option is incorrect.
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