For most solid solutes in liquids, increasing the temperature increases solubility. This happens because higher temperatures provide more kinetic energy to the solute particles, making it easier for them to dissolve. However, for gases, solubility decreases as temperature increases.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Consider the following statements: Statement I: \( 5 + 8 = 12 \) or 11 is a prime. Statement II: Sun is a planet or 9 is a prime.
Which of the following is true?
The value of \[ \int \sin(\log x) \, dx + \int \cos(\log x) \, dx \] is equal to
The value of \[ \lim_{x \to \infty} \left( e^x + e^{-x} - e^x \right) \] is equal to