Question

Q1. The equation for the reaction between sulfur dioxide and oxygen is shown.

Answer 1

The mole fraction of sulfur trioxide in the equilibrium mixture is 0.353.
Hence option (B) is the correct answer.

What is mole fraction ?

The ratio of the number of moles of one component of a solution or other mixture to the total number of moles representing all of the components.

We have to use algebra here,

Because in the equation $O_2$ has a stoichometry of 1, the other have 2,

let $O_2$ = x

You started with 2 moles, so the moles of $O_2$ at equilibrium will be 2 - X

$SO_3$ has a stoichiometry of 2 compared to $O_2$, so will be 2X

( not minus from anything as you started with no moles of $SO_3$)

And then $SO_2$  will also be 2X as it’s stoichiometry is 2, but as you started with 2 moles it will be 2-2X

If you add these in an equation to get total moles it’s

2 - 2X  +  2 - X + 2X = 3.4 (total given)

and then gathering together becomes 4-X = 3.4

so,

4 = 3.4 + X

so,

x = 0.6

Therefore,

the moles of $SO_3$  = 2 x 0.6 = 1.2

mole fraction = moles of the gas / total moles of gas

mole fraction = 1.2 / 3.4 = 0.353

Learn more about mole fraction here ;

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