JEE Advanced · Chemistry · 16. Solutions
At 300 K , an ideal dilute solution of a macromolecule exerts osmotic pressure that is expressed in terms of the height ( h ) of the solution (density \(=1.00 \mathrm{~g} \mathrm{~cm}^{-3}\) ) where h is equal to 2.00 cm . If the concentration of the dilute solution of the macromolecule is \(2.00 \mathrm{~g} \mathrm{dm}^{-3}\), the molar mass of the macromolecule is calculated to be \(\boldsymbol{X} \times 10^4 \mathrm{~g} \mathrm{~mol}^{-1}\). The value of \(\boldsymbol{X}\) is \(\qquad\) .
Use : Universal gas constant \((\mathrm{R})=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\) and acceleration due to gravity \((\mathrm{g})=10 \mathrm{~m} \mathrm{~s}^{-2}\)
- A 2.14
- B 2.19
- C 2.49
- D 5.45
Answer & Solution
Correct Answer
(C) 2.49
Step-by-step Solution
Detailed explanation
\(\pi=\rho g h=10^3 \times 10 \times 2 \times 10^{-2}\) \(\text {Pascal}=200 \text { Pascal } \)
\( \pi=C R T \)
\( 200=\frac{2}{M} \times 1000 \times 8.3 \times 300 \)
\( M=24900=2.49 \times 10^4 \mathrm{~g} / \mathrm{mol} \)
\( X=2.49\)
\( \pi=C R T \)
\( 200=\frac{2}{M} \times 1000 \times 8.3 \times 300 \)
\( M=24900=2.49 \times 10^4 \mathrm{~g} / \mathrm{mol} \)
\( X=2.49\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
- \(\mathrm{Ag}^{+}+\mathrm{NH}_3 \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)\right]^{+} ; k_1=3.5 \times 10^{-3}\) \(\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)\right]^{+}+\mathrm{NH}_3 \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+} ; k_2\) \(=1.7 \times 10^{-3}\) then the formation constant of \(\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}\)isJEE Advanced 2006 Medium
- Among the following, intensive property is (properties are)JEE Advanced 2010 Medium
- Paragraph:
The amount of energy required to break a bond is same as the amount of energy released when the same bond is formed. In gaseous state, the energy required for homolytic cleavage of a bond is called Bond Dissociation Energy (BDE) or Bond Strength. BDE is affected by \(s\)-character of the bond and the stability of the radicals formed. Shorter bonds are typically stronger bonds. BDEs for some bonds are given below:



Question:
Correct match of the \(\mathbf{C}-\mathbf{H}\) bonds (shown in bold) in Column \(\mathbf{J}\) with their BDE in Column \(\mathbf{K}\) is
JEE Advanced 2021 Medium - Consider a titration of potassium dichromate solution with acidified Mohr's salt solution using diphenylamine as indicator. The number of moles of Mohr's salt required per mole of dichromate isJEE Advanced 2007 Medium
- Among the following, the number of compounds than can react with \(\mathrm{PCl}_5\) to give \(\mathrm{POCl}_3\) is \(\mathrm{O}_2, \mathrm{CO}_2, \mathrm{SO}_2, \mathrm{H}_2 \mathrm{O}, \mathrm{H}_2 \mathrm{SO}_4, \mathrm{P}_4 \mathrm{O}_{10}\).JEE Advanced 2011 Medium
- The coordination number of \(\mathrm{Al}\) in the crystalline state of \(\mathrm{AlCl}_3\) isJEE Advanced 2009 Easy
More PYQs from JEE Advanced
- A vernier calipers has \(1 \mathrm{~mm}\) marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count isJEE Advanced 2010 Medium
- A point object is placed at distance of \(20 \mathrm{~cm}\) from a thin planoconvex lens of focal length \(15 \mathrm{~cm}\). The plane surface of the lens is now silvered. The image created by the system is at
JEE Advanced 2006 Medium - The correct option(s) related to adsorption processes is(are)JEE Advanced 2022 Easy
- Let P be a matrix of order such that all the entries in P are from the set . Then, the maximum possible value of the determinant of P is _______.JEE Advanced 2018 Medium
- (I) 1, 2-dihydroxy benzene
(II) 1, 3-dihydroxy benzene
(III) 1, 4-dihydroxy benzene
(IV) Hydroxy benzene
The increasing order of boiling points of above mentioned alcohols isJEE Advanced 2006 Medium - Let \(f(x)\) be a non-constant twice differentiable function defined on \((-\infty, \infty)\), such that \(f(x)=f(1-x)\) and \(f^{\prime}\left(\frac{1}{4}\right)=0\). Then,JEE Advanced 2008 Hard