Question

If a solution contains same number of moles of A and B then what will be the mole fraction of A?

1 point

A: 1

D: 0.8

B: 0.5

C: 0.05​

Answer 1

Given: the number of moles of solute A, n₁  = n

           the number of moles of solute B, n₂ = n

To Find: the mole fraction of A, Xₐ

Solution:

To Find Xa, the formula used:

• Mole fraction = number of moles of a solute/ Total number of moles of all the solute
• X = n₁ / n₁+ n₂

Applying the above formula:

Xₐ =  n₁ / n₁+ n₂

As the number of moles of solute A, and B = n

∴ Xa = n / n+n

        = n / 2n

        = 1 / 2

        = 0.5

Xₐ   = 0.5

Hence, the mole fraction of A is 0.5 (option- B).

Answer 2

Answer:

The mole fraction of A will be 0.5

Explanation:

The mole fraction of a single component is the ratio of that component's moles to the total moles of all components present in the solution.

When n₁ moles of component 1 and n₂ moles of component 2 are mixed to produce a solution, the mole fractions of components 1 and 2 are:

 χ₁ = n₁/(n₁+n₂) and χ₂ = n₂/(n₁+n₂).

If the number of moles in A and B are n respectively, then the mole fraction will be given by

χ = n/(n+n)

    = n/2n

    = 1/2

    = 0.5

Thus, the mole fraction of A will be 0.5.

The sum of the mole fraction of all components is one.

#SPJ2