A piece of dry ice (solid CO₂, d=0.900 g/mL) weighing10.0 g is placed in a 0.800-L bottle filled with air at 0.980 atm and 550.0°C. The bottle is capped, and the dry ice changes togas. What is the final pressure inside the bottle?

College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter9: Fluids And Solids
Section9.3: Variation Of Pressure With Depth
Problem 9.2QQ: The pressure at the bottom of a glass filled with water ( = 1 000 kg/m3) is P. The water is poured...
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A piece of dry ice (solid CO₂, d=0.900 g/mL) weighing10.0 g is placed in a 0.800-L bottle filled with air at 0.980 atm and 550.0°C. The bottle is capped, and the dry ice changes togas. What is the final pressure inside the bottle?

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Step 1

From the given information, to calculate the total pressure inside the container, first, we have to calculate the pressure exerted by CO2 solid after converted into gas.

Using the ideal gas equation to find the final pressure of the gas

m=10.0g , V=0.800L ,R=0.0821 atm.L/mol.K

T=(550+273)=823 K

PV=nRTP=nRTVP=10*0.0821*8230.800*44 g/molP=18.95 atm

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