Suppose \( 1.00 \mathrm{~L} \) of a gas with \( \gamma=1.30 \), initially at \( 285 \mathrm{~K} ...

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Suppose \( 1.00 \mathrm{~L} \) of a gas with \( \gamma=1.30 \), initially at \( 285 \mathrm{~K} \) and \( 1.00 \mathrm{~atm} \), is suddenly compressed adiabatically to half its initial volume. Find its final pressure and temperature. If the gas is then cooled to \( 273 \mathrm{~K} \) at constant pressure, what is its final volume?
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