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Three gases, Ar, N2 and H2 are mixed in a 500L container. Ar has a pressure of 2 atm, N2 has a pressure of 3 atm and H2 has pressure of 2 atm. What is the total pressure in the container?a. 2 atm b. 3 atm c. 5 atm d. 7 atm​.

Sagot :

MakotoOrekiidn

Answer:

[tex] \therefore [/tex] The total pressure in the container is 7 atm (D.)

Explanation:

We have three gases which is [tex] \rm{Ar, \ N_2, \ and \ H_2} [/tex] they all mixed in 500L. So, we want to there total pressure. To know how many total of pressure in the container, we will use Dalton's Equation.

  • [tex] \boxed{\bold{P_{Total} = P_1 + P_2 + P_3...}}[/tex]

[tex] \begin{gathered}\begin{gathered}\begin{aligned} & \bold{Thus, \ the \ given \ are:} \\ & \quad \boxed{\begin{array}{l} \Longrightarrow \rm{P_1} = 2 \ atm \\ \Longrightarrow \rm{P_2} = 3 \ atm \\ \Longrightarrow \rm{P_3} = 2 \ atm \end{array}}\, \\ \end{aligned} \end{gathered}\end{gathered} [/tex]

Substitute it to the formula

  • [tex] \rm{P_{Total} = 2 \ atm + 3 \ atm + 2 \ atm} [/tex]
  • [tex] \rm{P_{Total} = 4 \ atm + 3 \ atm} [/tex]
  • [tex] \rm{P_{Total} = 7 \ atm}[/tex]

[tex] \therefore [/tex] The total pressure in the container is 7 atm (D.)

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