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Ideal Gas Equation

A 25g chunk o...

Question

A 25g chunk of dry ice is placed in an empty 0.75 litre wine bottle and tightly closed. The final pressure (atm) that would be in the bottle after all $C O_{2}$ has evaporated and temperature reaches to $25^{o}$ C is________.

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Solution

Dry ice means for solid $C O_{2}$
$∴$ at T=298 $w_{C O_{2}} = 20 g$ $M . W_{C O_{2}} = 44 g m o l^{- 1}, V = 0.75$ litre
PV=(w/M)RT
$P \times 0.75 = (20 / 44) \times 0.0821 \times 298$
$P C O_{2}$ =14.877atm
Therefore, pressure inside the bottle = $P_{C O_{2}}$ + atmospheric pressure due to air in bottle
$= 14.877 + 1 = 15.877 a t m$
nearest integer is 16.

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