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Karnataka Board PUCPUC Science 2nd PUC Class 12

Determine the amount of CaCl2 (i = 2.47) dissolved in 2.5 litre of water such that its osmotic pressure is 0.75 atm at 27°C.

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Question

Determine the amount of CaCl2 (i = 2.47) dissolved in 2.5 litre of water such that its osmotic pressure is 0.75 atm at 27°C.

Numerical
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Solution

π = inRT 

or, n = `(π xx V)/(i xx R xx T)`

= `(0.75  atm xx 2.5  L)/(2.47 xx 0.0821  L  atm  K^-1  mol^-1 xx 300  K)`

= `1.875/60.836`

= 0.0308 mol

Molar mass of CaCl2 = 40 + 2 × 35.5

= 111 g mol−1

∴ Amount of CaCl2 dissolved = 0.0308 × 111 g

= 3.42 g

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Chapter 1: Solutions - Exercises [Page 30]

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NCERT Chemistry Part 1 and 2 [English] Class 12
Chapter 1 Solutions
Exercises | Q 1.40 | Page 30

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