Menu Close

If-a-certain-mass-of-gas-is-made-to-undergo-separately-adiabatic-and-isothermal-expansions-to-the-same-pressure-starting-from-the-same-initial-conditions-of-temperature-and-pressure-then-as-compared




Question Number 22299 by Tinkutara last updated on 14/Oct/17
If a certain mass of gas is made to  undergo separately adiabatic and  isothermal expansions to the same  pressure, starting from the same initial  conditions of temperature and pressure,  then as compared to that of isothermal  expansion, in the case of adiabatic  expansion, the final  (1) Volume and temperature will be  higher  (2) Volume and temperature will be  lower  (3) Temperature will be lower but the  final volume will be higher  (4) Volume will be lower but the final  temperature will be higher
$$\mathrm{If}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{gas}\:\mathrm{is}\:\mathrm{made}\:\mathrm{to} \\ $$$$\mathrm{undergo}\:\mathrm{separately}\:\mathrm{adiabatic}\:\mathrm{and} \\ $$$$\mathrm{isothermal}\:\mathrm{expansions}\:\mathrm{to}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{pressure},\:\mathrm{starting}\:\mathrm{from}\:\mathrm{the}\:\mathrm{same}\:\mathrm{initial} \\ $$$$\mathrm{conditions}\:\mathrm{of}\:\mathrm{temperature}\:\mathrm{and}\:\mathrm{pressure}, \\ $$$$\mathrm{then}\:\mathrm{as}\:\mathrm{compared}\:\mathrm{to}\:\mathrm{that}\:\mathrm{of}\:\mathrm{isothermal} \\ $$$$\mathrm{expansion},\:\mathrm{in}\:\mathrm{the}\:\mathrm{case}\:\mathrm{of}\:\mathrm{adiabatic} \\ $$$$\mathrm{expansion},\:\mathrm{the}\:\mathrm{final} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Volume}\:\mathrm{and}\:\mathrm{temperature}\:\mathrm{will}\:\mathrm{be} \\ $$$$\mathrm{higher} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Volume}\:\mathrm{and}\:\mathrm{temperature}\:\mathrm{will}\:\mathrm{be} \\ $$$$\mathrm{lower} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{Temperature}\:\mathrm{will}\:\mathrm{be}\:\mathrm{lower}\:\mathrm{but}\:\mathrm{the} \\ $$$$\mathrm{final}\:\mathrm{volume}\:\mathrm{will}\:\mathrm{be}\:\mathrm{higher} \\ $$$$\left(\mathrm{4}\right)\:\mathrm{Volume}\:\mathrm{will}\:\mathrm{be}\:\mathrm{lower}\:\mathrm{but}\:\mathrm{the}\:\mathrm{final} \\ $$$$\mathrm{temperature}\:\mathrm{will}\:\mathrm{be}\:\mathrm{higher} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *