Consider the following reaction in a closed reaction flask. If 1.20 atm of gas A is allowed to react with 1.20 atm of gas B and the reaction goes to completion at constant temperature and volume, what is the total pressure in the reaction flask at the end of the reaction? 2 A(g) + 3 B(g) → A2B3(g)

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Answer:

The total pressure is 0.8 atm

Explanation:

Step 1: The balanced equation

2 A(g) + 3 B(g) → A2B3 (g)

This means that for 2 moles of A consumed, we need 3 moles of B to produce 1 mole of A2B3

Initial pressure of A = 1.20 atm

Initial pressure of B = 1.20 atm

Step 2: Calculate limiting reactant and reactant in excesss

If 3 moles of B need 2 moles of A to be consumed; then 1.2 mole of B needs 0.8 moles of A.

0.8 moles of A will be consumed, this means 0.4 moles will remain.

⇒ A is in excess

B will completely react, so B is the limiting reactant

If 3 moles of B need 2 moles of A to be consumed; then 0.4 moles of A2B3 will be produced.

Step 3: Calculate the total pressure

Final pressure of A = 0 atm

Final pressure of B = (1.20 - 0.80) atm = 0.40 atm

Final pressure of A₂B₃ = 0.40 atm  

Total pressure = pressure A + pressure B + pressure A2B3 = 0 atm + 0.4 atm + 0.4 atm = 0.8 atm

The total pressure at the end of the reaction is 0.8 atm.

What do you mean by total pressure?

The sum of the pressures of each individual gas can be used to calculate the overall pressure of a mixture of gases.

Calculation:

Given, equation is:

2 A(g) + 3 B(g) → A2B3 (g)

Initial pressure of A = 1.20 atm.

Initial pressure of B = 1.20 atm.

Now, If 3 moles of B need 2 moles of A, then 1.2 moles of B needs 0.8 moles of A.

There will be 0.4 moles of A left after 0.8 moles of A have been consumed.

Final pressures:

A = 0

B = (1.20 - 0.80) = 0.40

A₂B₃ = 0.40 atm.

Calculating the total pressure:

The total pressure = pressure A + pressure B + Pressure A2b3

0 atm. + 0.4 atm. + 0.4 atm. = 0.8 atm.

Thus, the total pressure will be 0.8 atm.

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