Question

A quantity of $22g$ dry ice is taken in an open bottle of one litre capacity and the bottle is then closed properly. If a temperature of a bottle is maintained at ${27}^{o}C$ for a long time, in which all the ${CO}_2$ is sublimed, the pressure in the bottle is: (Ambient condition is $1$ atm and ${27}^{o}C$)

• A. $13.315$ atm
• B. $12.315$ atm
• C. $11.315$ atm
• D. $1.0$ atm

Answer 1

Answer: (A)

$13.315$ atm

Given,

Quantity of $C{O}_2=w=22g$

Molar mass of $C{O}_2=M=44g/mol$

$V=1L$

Temeperature$=T={27}^{o}C=300K$

We have,

$PV=nRT$

$PV=\frac{w}{M}RT$

$\therefore P\times 1=\frac{22}{44}\times 0.0821\times 300$

$P=12.315$

$\therefore$ Final pressure inside the bottle$=P+atmosphericpressure=12.315+1=13.315atm$