Answer

Verified

18.3k+ views

**Hint:**Find the total pressure using the formula $P_{total}=X_A \cdot \dot{P}_{A}+ X_B \cdot \dot{P}_{B}$. Then we can find the mole fraction.

**Complete step by step answer:**

Let us find the $P_{total}$ by using the formula $P_{total}=X_A \cdot \dot{P}_{A}+ X_B \cdot \dot{P}_{B}$

Where $\dot{P}_{A}$ is the is the partial pressures of A and $\dot{P}_{B}$ is the is the partial pressures of B.

And $X_A$ is the mole fraction of A and $X_B$ is the mole fraction of B

$P_{total}=0.5 \times 400+ 0.5\times 600$

By solving we get,

$P_{total}$=50 mm Hg

Now, we can find mole fraction of A in vapour,

$Y_A= \dfrac{P_A}{ P_{total}}= \dfrac{0.5 \times 400}{500}=0.4$

**Additional information:**

The pressure exerted by a vapor in equilibrium with the condensed phases at a given temperature in a closed system is called the vapour pressure.

$P_{total}=X_A \cdot \dot{P}_{A}+ X_B \cdot \dot{P}_{B}$ equation is also known as Dalton’s law of partial pressure.

**Note:**In these types of questions sometimes $X_B$ may not be given. We can find $X_B$ by $X_B=1-X_A$

Recently Updated Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Let f be a twice differentiable such that fleft x rightfleft class 11 maths JEE_Main

Find the points of intersection of the tangents at class 11 maths JEE_Main

For the two circles x2+y216 and x2+y22y0 there isare class 11 maths JEE_Main

The path difference between two waves for constructive class 11 physics JEE_MAIN

What is the difference between solvation and hydra class 11 chemistry JEE_Main

Other Pages

How much would a 70 kg man weigh on the moon What would class 11 physics JEE_Main

The value of de Broglie wavelength of an electron moving class 12 physics JEE_Main

Derive an expression for maximum speed of a car on class 11 physics JEE_Main

Assertion Work and heat are two equivalent from of class 11 chemistry JEE_Main

The mole fraction of the solute in a 1 molal aqueous class 11 chemistry JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main