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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 CO2 has been evaporated and the temperature reaches to 25oC is_________ (as nearest integer).

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Solution

Dry ice means for solid CO2

at T=298 wCO2=20gMCO_2$=44gmol^-1 V=0.75 litre

PV=(w/M)RT

P*0.75=(20/44)*0.0821*298

PCO2=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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