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Liquids in Liquids

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 been evaporated and the temperature reaches to $25^{o}$ C is_________ (as nearest integer).

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Solution

Dry ice means for solid $C O_{2}$
$∴$ at T=298 $w_{C} O_{2} = 20 g$ MCO_2$=44gmol^-1 V=0.75 litre
PV=(w/M)RT
P0.75=(20/44)0.0821*298
$P_{C} O_{2}$ =14.877atm
Therefore, pressure inside the bottle =P_CO_2+atmospheric pressure due to air in bottle
=14.877+1=15.877atm
nearest integer is 16.

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