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^$-$1 mol^$-$1)

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)

The pressure of a moist gas at $27^{\circ} \mathrm{C}$ is $4 \mathrm{~atm}$. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is ________________ . (Nearest integer)

pH value of 0.001 M NaOH solution is ____________.

A certain quantity of real gas occupies a volume of $0.15~ \mathrm{dm}^{3}$ at $100 \mathrm{~atm}$ and when its compressibility factor is 1.07 . Its volume at 300 atm and (When its compressibility factor is 1.4 ) is ___________ (Nearest integer)

The number of correct statements from the following is __________

A. $\mathrm{E_{\text {cell }}}$ is an intensive parameter

B. A negative $\mathrm{E}^{\ominus}$ means that the redox couple is a stronger reducing agent than the couple.

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).

If the solubility product of PbS is 8 $\times$ 10^$-$28, then the solubility of PbS in pure water at 298 K is x $\times$ 10 mol L. The value of x is __________. (Nearest Integer)