A steel cylinder contains N2, O2 and CO2 gases the total pressure in a tank is 3.00 ATM the partial pressure of the N2 and O2 are 950 torr in 1025 torr respectively what is the partial pressure of CO2 in atm within the mixture?

1 Answer
Feb 18, 2018

#P_(CO_2)=0.4"atm"#

Explanation:

According to Dalton's Law of Partial Pressures,

#P_"total"=SigmaP_i#, where #P_i# is the pressure of individual substances.

We have #N_2#, #O_2# and #CO_2# gas in the container.

We can write the Law as:

#P_"total"=P_(N_2)+P_(O_2)+P_(CO_2)#

We can rewrite our equation to solve for #P_(CO_2)#:

#P_(CO_2)=P_"total"-(P_(N_2)+P_(O_2))#

#P_"total"# is given in atmospheres, we convert to torr:

#1"atm"=760"torr"#

#3"atm"=2280"torr"#

#P_(N_2)=950"torr"#

#P_(O_2)=1025"torr"#

Now we simply input:

#P_(CO_2)=2280-(950+1025)#

#P_(CO_2)=2280-1975#

#P_(CO_2)=305"torr"#

Converting to #"atm"# we get:

#P_(CO_2)=0.4"atm"#