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

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Question Number 22299 by Tinkutara last updated on 14/Oct/17

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

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