What is the minimum volume of water required to dissolve $1 \mathrm{~g}$ of calcium sulphate at $298 \mathrm{~K}$ ? $\left(\right.$ For calcium sulphate, $K_{\text {sp }}$ is $\left.9.1 \times 10^{-6}\right)$.
$\mathrm{CaSO}_{4(s)} \longleftrightarrow \mathrm{Ca}^{2+}{ }_{(a q)}+\mathrm{SO}_{4}^{2-}(a q)$
$K_{s p}=\left[\mathrm{Ca}^{2+}\right]\left[\mathrm{SO}_{4}^{2-}\right]$
Let the solubility of $\mathrm{CaSO}_{4}$ be $s$.
Then, $K_{s p}=s^{2}$
$9.1 \times 10^{-6}=s^{2}$
$s=3.02 \times 10^{-5} \mathrm{~mol} / \mathrm{L}$
Molecular mass of $\mathrm{CaSO}_{4}=136 \mathrm{~g} / \mathrm{mol}$
Solubility of $\mathrm{CaSO}_{4}$ in gram $/ \mathrm{L}=3.02 \times 10^{-3} \times 136$
$=0.41 \mathrm{~g} / \mathrm{L}$
This means that we need $1 \mathrm{~L}$ of water to dissolve $0.41 \mathrm{~g}$ of $\mathrm{CaSO}_{4}$
Therefore, to dissolve $1 \mathrm{~g}$ of $\mathrm{CaSO}_{4}$ we require $=\frac{1}{0.41} \mathrm{~L}=2.44 \mathrm{~L}$ of water.
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,