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JEE Main 202429 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
29 January
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2024 · 29 January · Morning Shift · Chemistry · Solutions

The osmotic pressure of a dilute solution is 7 × 10 ^ 5 Pa at 273K...

The osmotic pressure of a dilute solution is 7×105Pa7 \times {10}^{5}Pa at 273K273K. Osmotic pressure of the same solution at 283K283K is _______ \times {10}^{4}{Nm}^{- 2}.(Nearest integer)

Correct answer

0

Step-by-step solution

Osmotic pressure can be calculated as,

π=CRT\pi = CRT

π is the osmotic pressure

C is the molar concentration of the solute in the solution

R is the universal gas constant

Here given,

 T1=273KT2=283K{T}_{1} = 273K{T}_{2} = 283K 

π1=CRT1By putting the values in this equation, we get,7×105=C×R×273CR=7×105273π2=CRT2=7×105273×283=72.56×104Nm−2{\pi}_{1} = {CRT}_{1}\text{By putting the values in this equation, we get,}7 \times {10}^{5} = C \times R \times 273CR = \dfrac{7 \times {10}^{5}}{273}{\pi}_{2} = {CRT}_{2} = \dfrac{7 \times {10}^{5}}{273} \times 283 = 72 . 56 \times {10}^{4}{Nm}^{- 2}

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