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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 $$CO_2$$ has been evaporated and the temperature reaches to $${ 25 }^{ o}$$C is_________ (as nearest integer).


Solution

Dry ice means for solid $$CO_2$$

$$\therefore$$ at T=298 $$w_CO_2=20g $$MCO_2$$=44gmol^-1 V=0.75 litre

PV=(w/M)RT

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

$$P_CO_2$$=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.


Chemistry

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