The solubility product of a sparingly soluble salt A₂X₃ is 1.1 $\times$ 10^$-$23. If specific conductance of the solution is 3 $\times$ 10 S m S m mol. The value of x is ___________.

Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH 12 is $x\times10^{-1}$. The value of $x$ is ___________ (Nearest integer).

At $310 \mathrm{~K}$, the solubility of $\mathrm{CaF}_{2}$ in water is . The solubility product of is ____________ . (Give molar mass : )

A sealed flask with a capacity of 2 dm³ contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minimum temperature at which the flask will burst is ___________ $^\circ$C. [Nearest integer]

(Given : R = 8.3 J K^$-$1 mol , Atomic masses of C and H are 12u and 1u, respectively.) (Assume that propane behaves as an ideal gas.)

2.0 g of H₂ gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is __________ mL.

(Given : R = 0.083 L bar K^$-$1 mol^$-$1)

A $10 \mathrm{~g}$ mixture of hydrogen and helium is contained in a vessel of capacity $0.0125 \mathrm{~m}^{3}$ at 6 bar and . The mass of helium in the mixture is ____________ g. (nearest integer)

A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27$^\circ$C. At 03:00 pm, when the temperature is 45$^\circ$, the pressure in the tank will be _________ atm. [nearest integer]

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ____________ g mol^$-$1. (nearest integer) Assume that the behaviour of gases as ideal.

(Given : The molar mass of hydrogen (H₂) gas is 2.0 g mol^$-$1.)

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27$^\circ$C under 1.5 bar pressure. The molar mass of the gas is __________ g mol^$-$1. (Nearest integer)

(Given : R = 0.083 L bar K^$-$1 mol)

In the titration of $\mathrm{KMnO}_{4}$ and oxalic acid in acidic medium, the change in oxidation number of carbon at the end point is ___________.

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL^$-$1 at 257$^\circ$C and 100 mm Hg. The molar mass of geraniol is ____________ g mol^$-$1. (Nearest Integer)