Solubility product $(K_{sp}) $ of saturated $PbCl_2$ in water is $1.8 \times 10^{-4} \, mol^3 \, dm^{-9}$. What is the concentration of $Pb^{2+}$ in the solution?
- $(0.45 \times 10^{-4} )^{1/3} \, mol \, dm^{-3}$
- $(1.8 \times 10^{-4} )^{1/3} \, mol \, dm^{-3}$
- $(0.9 \times 10^{-4} )^{1/3} \, mol \, dm^{-3}$
- $(2.0 \times 10^{-4} )^{1/3} \, mol \, dm^{-3}$
The Correct Option is A
Solution and Explanation
i.e. $\left( PbCl _{2}\right)$
$K_{SP} =4 S^{3}$
or, $S =\left[\frac{K_{S P}}{4}\right]^{1 / 3} $
Given, $K_{SP}=1.8 \times 10^{-4}\, mol ^{3} \,dm ^{-9}$
$\therefore$ Solubility of $Pb ^{+2}$ ions will be
$\therefore S=\left[\frac{1.8 \times 10^{-4}}{4}\right]^{\frac{1}{3}} $
$=\left[0.45 \times 10^{-4}\right]^{\frac{1}{3}} mol.\, dm ^{-3}$
Top Questions on Buffer Solutions
- 100 mL of 0.1 M HA (weak acid) and 100 mL of 0.2 M NaA are mixed. What is the pH of the resultant solution? \((K_a \text{ of HA is } 10^{-5}, \log 2 = 0.3)\)
- AP EAMCET - 2024
- Chemistry
- Buffer Solutions
- Given below are two statements:
Statement (I) : A Buffer solution is the mixture of a salt and an acid or a base mixed in any particular quantities.
Statement (II) : Blood is naturally occurring buffer solution whose pH is maintained by $H_2CO_3/HCO_3^-$ concentrations.
In the light of the above statements, choose the correct answer from the options given below.- JEE Main - 2024
- Chemistry
- Buffer Solutions
- Which of the following aqueous mixture is a buffer solution?
- KEAM - 2024
- Chemistry
- Buffer Solutions
- In an acidic buffer, if the ratio of base to acid concentration is increased by 100 times, then find the increase in pH of the buffer solution.
- MHT CET - 2024
- Chemistry
- Buffer Solutions
If the pKa of lactic acid is 5, then the pH of 0.005 M calcium lactate solution at \(25^\circ \text{C}\) is \(\_\_\_\_\_\_ \times 10^{-1}\) (Nearest integer).
Lactic Acid
- JEE Main - 2023
- Chemistry
- Buffer Solutions
Questions Asked in KEAM exam
- In the measurement of length 6 $\mu$m is equal to $x$ pm. Then the value of $x$ is
- KEAM - 2024
- Dimensional Analysis
- If the lines \( \frac{x-1}{2} = \frac{y-2}{\alpha} = \frac{z-3}{2} \) and \( \frac{x-1}{2} = \frac{y-2}{1} = \frac{z-3}{-2} \) are perpendicular, then the value of \( \alpha \) is:
- KEAM - 2024
- Integration
- An organic compound contains 37.5% C, 12.5% H and the rest oxygen. What is the empirical formula of the compound?
- KEAM - 2024
- Oxygen
- Let A, B, C denote the set of students in a college who play football, basketball, and cricket respectively. If \( n(A) = 60 \), \( n(B) = 55 \), \( n(C) = 70 \), \( n(A \cup B \cup C) = 100 \) and \( n(A \cap B \cap C) = 20 \), then the number of students who play exactly two of these sports is
- KEAM - 2024
- Relations and functions
For the reaction:
\[ 2A + B \rightarrow 2C + D \]
The following kinetic data were obtained for three different experiments performed at the same temperature:
\[ \begin{array}{|c|c|c|c|} \hline \text{Experiment} & [A]_0 \, (\text{M}) & [B]_0 \, (\text{M}) & \text{Initial rate} \, (\text{M/s}) \\ \hline I & 0.10 & 0.10 & 0.10 \\ II & 0.20 & 0.10 & 0.40 \\ III & 0.20 & 0.20 & 0.40 \\ \hline \end{array} \]
The total order and order in [B] for the reaction are respectively:
- KEAM - 2024
- Grignard’s reagents and their uses
Concepts Used:
Buffer solutions
The buffer solution is a solution that is able to maintain its Hydrogen ion concentration (pH) with only minor changes on the dilution or addition of a small amount of either acid or base. They are used in fermentation, food preservatives, drug delivery, printing, the activity of enzymes and many more.
Buffer solutions are aqueous solutions containing a weak acid and its salt - acid buffer or a weak base and its salt - base buffer.
Types of Buffer Solution
Acidic Buffers
These solutions are used to maintain acidic environments. Also, it has acidic pH and is prepared by mixing a weak acid and its salt with a strong base. An aqueous solution of an equal concentration of acetic acid and sodium acetate has a pH of 4.74.
Alkaline Buffers
These solutions are used to maintain basic conditions. It has a basic pH and is prepared by mixing a weak base and its salt with strong acid. The aqueous solution of an equal concentration of ammonium hydroxide and ammonium chloride has a pH of 9.25.