50 mL of 0.1 M CH₃COOH is being titrated against 0.1 M NaOH. When 25 mL of NaOH has been added, the pH of the solution will be _____________ $\times$ 10^$-$2. (Nearest integer)

(Given : pK_a (CH₃COOH) = 4.76)

log 2 = 0.30

log 3 = 0.48

log 5 = 0.69

log 7 = 0.84

log 11 = 1.04

The number of incorrect statements from the following is ___________.

A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy.

B. $\mathrm{E_{cell}^{\circ}}$ cell is dependent on the pressure.

For a real gas at $25^{\circ} \mathrm{C}$ temperature and high pressure (99 bar) the value of compressibility factor is 2, so the value of Vander Waal's constant 'b' should be __________ $\times 10^{-2} \mathrm{~L} \mathrm{~mol}^{-1}$ (Nearest integer)

At $600 \mathrm{~K}$, the root mean square (rms) speed of gas $\mathrm{X}$ (molar mass $=40$ ) is equal to the most probable speed of gas at . The molar mass of the gas is ___________ . (Nearest integer)

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 ___________.

In an electrochemical reaction of lead, at standard temperature, if $\mathrm{E}^{0}\left(\mathrm{~Pb}^{2+} / \mathrm{Pb}\right)=\mathrm{m}$ Volt and Volt, then the value of is given by . The value of is ___________. (Nearest integer)

A litre of buffer solution contains 0.1 mole of each of NH$_3$ and NH$_4$Cl. On the addition of 0.02 mole of HCl by dissolving gaseous HCl, the pH of the solution is found to be _____________ 10 (Nearest integer)

Two tangent lines $l_{1}$ and $l_{2}$ are drawn from the point to the parabola . If the lines and are also tangent to the circle , then 17r is equal to ___________.

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.)

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.)