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Benzene and naphthalene form ideal solution over the entire range of composition. The vapour pressure of pure benzene and naphthalene at 300 K are 50.71 mm Hg and 32.06 mm Hg respectively. Calculate the mole fraction of benzene in vapour phase if 80 g of benzene is mixed with 100 g of ​naphthalene.

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Important Questions on Solutions

MEDIUM
A solution contains 5 moles of X and 5 moles of Y, and has a normal boiling point of 90°C. The vapor pressure of pure X is 300 mm Hg. What is the vapor pressure of pure Y at this temperature?
MEDIUM
At 300 K, the vapour pressure of a solution containing 1 mole of n -hexane and 3 moles of n -heptane is 550 mm of Hg. At the same temperature, if one more mole of n -heptane is added to this solution, the vapour pressure of the solution increases by 10 mm of Hg. What is the vapour pressure in mmHg of n - heptane in its pure state______?
MEDIUM
38.4 g of unknown substance (molar mass 384 g mol-1) and 116 g of acetone is used to prepare a solution at 313 K. If vapour pressure of pure acetone (molar mass 58 g mol-1) is 0.842 atmosphere, what is the vapour pressure of solution ?
HARD

Benzene and toluene form an ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at T K are 50 mmHg and 40 mmHg, respectively. What is the mole fraction of toluene in vapour phase when 117 g of benzene is mixed with 46 g of toluene?

(Molar mass of benzene and toluene are 78 and 92 g mol-1, respectively)

MEDIUM
A solution is prepared by mixing 8.5 g of CH2Cl2 and 11.95 g of CHCl3 . If vapour pressure of CH2Cl2 and CHCl3 at 298K are 415 and 200 mm Hg respectively, the mole fraction of CHCl3 in vapour form is: Molar mass of Cl=35.5 g mol-1
MEDIUM
How many grams of glucose are required to prepare an aqueous solution of glucose having a vapor pressure of 23.324 mm Hg at 25°C in 100 g of water? The vapour pressure of pure water at 25°C is 23.8 mm Hg.
MEDIUM
An open beaker of water in equilibrium with water vapour is in a sealed container. When a few grams of glucose are added to the beaker of water, the rate at which water molecules :
EASY
If χ1 and χ2 represent the mole fractions of a component A ' in the vapour phase and liquid mixture respectively, and pA° and pB° represent vapour pressures of pure A and pure B, then total vapour pressure of liquid mixture is
MEDIUM
The vapour pressures of pure liquids A and Bare 400 and 600 mm Hg respectively at 298 K. On mixing the two liquids, the sum of their volumes is equal to the volume of the final mixture. The mole fraction of liquid B is 0.5 in the mixture. The vapour pressure of the final solution, the mole fractions of components A and B in the vapour phase, respectively are 
MEDIUM
Liquid M and liquid N form an ideal solution. The vapour pressures of pure liquids M and N are 450 and 700 mmHg, respectively, at the same temperature. Then correct statements is:
( xM=Mole fraction of 'M' in solution;
xN=Mole fraction of 'N'in solution;
yM=Mole fraction of 'M' in vapour phase;
yN=Mole fraction of 'N' in vapour phase; )
HARD
Which of the following statements about the composition of the vapour over an ideal 1 : 1 molar mixture of benzene and toluene is correct? Assume that the temperature is constant at 25oC . (Given vapour pressure data at 25oC , benzene = 12.8 kPa, toluene = 3.85 kPa)
MEDIUM
A solution at 20oC is composed of 1.5 mol of benzene and 3.5 mol of toluene. If the vapour pressure of pure benzene and pure toluene at this temperature are 74.7 torr and 22.3 torr respectively, then the total vapour pressure of the solution and the benzene mole fraction in equilibrium with it will be, respectively:
HARD
The vapour pressures of chloroform CHCl3, dichloromethane CH2Cl2 at 298 K are 200 mmHg and 415 mmHg, respectively. An ideal solution is prepared by mixing 59.75 g of CHCl3 and 21.25 g of CH2Cl2, the mole fractions of chloroform and dichloromethane in vapour phase, respectively are
HARD
Liquids A and B form an ideal solution in the entire composition range. At 350K, the vapour pressure of pure A and pure B are 7×103Pa and 12×103Pa , respectively. The composition of the vapour in equilibrium with a solution containing 40 mole percent of A at this temperature is:
HARD
The plot of total vapour pressure as a function of mole fraction of the components of an ideal solution formed by mixing liquids X and Y is
MEDIUM
At 363 K, the vapour pressure of A is 21 kPa and that of B is 18kPa. One mole of A and 2 moles of B are mixed. Assuming that this solution is ideal, the vapour pressure of the mixture is___________ kPa. (Round of to the Nearest Integer).
EASY
A mixture of toluene and benzene forms a nearly ideal solution. Assume PB° and PT° to be the vapor pressures of pure benzene and toluene, respectively. The slope of the line obtained by plotting the total vapor pressure to the mole fraction of benzene is:
EASY
9 gram anhydrous oxalic acid (mol. Wt. = 90) was dissolved in 9.9 moles of water. If vapour pressure of pure water is P1o the vapour pressure of solution is
MEDIUM
A mixture of toluene and benzene boils at 100oC . Assuming ideal behaviour, the mole fraction of toluene in the mixture is closest to [Vapour pressures of pure toluene and pure benzene at 100oC are 0.742 and 1.800 bar respectively. 1 atm =1.013  bar]
HARD
Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr . At the same temperature, a new solution of A and B having mole fractions xA and xB, respectively, has vapour pressure of 22.5 Torr. The value of xAxB, in the new solution is ____.

(Given that the vapour pressure of pure liquid A is 20 Torr at temperature T)