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JEE Advanced 2023Paper 2
Exam
JEE Advanced
Year
2023
Paper
Paper 2
Subject
Chemistry
Chapter
Solutions

JEE Advanced 2023 · Paper 2 · Chemistry · Solutions

50mL of 0 . 2 molal urea solution (density = 1 . 012g mL ^ - 1 at...

50mL of 0 . 2molalureasolution(densitymolal urea solution (density= 1 . 012g{mL}^{- 1}atat300K)ismixedwith) is mixed with250mLofasolutioncontainingof a solution containing0 . 06gofurea.Boththesolutionswerepreparedinthesamesolvent.Theosmoticpressure(intorr)oftheresultingatof urea. Both the solutions were prepared in the same solvent. The osmotic pressure (in torr) of the resulting at300Kis</p><p>[Use:Molarmassofureais</p><p>[Use : Molar mass of urea= 60g{mol}^{- 1};gasconstant,; gas constant,R = 62L - torr{K}^{- 1}{mol}^{- 1};</p><p>Assume,ΔmixH=0,ΔmixV=0];</p><p>Assume, {\Delta}_{mix}H = 0, {\Delta}_{\text{mix}}V = 0]

Correct answer

0

Step-by-step solution

Mole of urea =0.2= 0 . 2

Weight of urea = moles of urea ×\times molar mass

Weight of urea =0.2×60=12g= 0 . 2 \times 60 = 12g

Weight of solvent =1000g= 1000g

Weight of solution =1012g= 1012g

Volume of solution =Weight of solutiondensity of solution= \dfrac{\text{Weight of solution}}{\text{density of solution}}

∴∴ Volume of solution =10121.012=1000ml= \dfrac{1012}{1 . 012} = 1000ml

∵1000ml∵ 1000ml solution contain 0.20 . 2 mole

∴50ml∴ 50ml solution contain =0.2×501000=0.01= \dfrac{0 . 2 \times 50}{1000} = 0 . 01

Mole of urea in other solution =0.0660=0.001= \dfrac{0 . 06}{60} = 0 . 001

∴∴ Concentration of solution =0.01+0.0013001000= \dfrac{0 . 01 + 0 . 001}{\dfrac{300}{1000}}

Now, osmotic pressure can be calculated as follows,

∴π=CRT∴ \pi = CRT

=0.0366×62×300= 0 . 0366 \times 62 \times 300

=682= 682

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