NTA JEE Main 27th July 2021 Shift 2

$$2SO_2(g) + O_2(g) \rightarrow 2SO_3(g)$$
The above reaction is carried out in a vessel starting with partial pressure $$P_{SO_2} = 250$$ m bar, $$P_{O_2} = 750$$ m bar and $$P_{SO_3} = 0$$ bar. When the reaction is complete, the total pressure in the reaction vessel is _________ m bar. (Round off to the nearest integer).

The total number of electrons in all bonding molecular orbitals of $$O_2^{2-}$$ is _________ (Round off to the nearest integer)

When 400 mL of 0.2 M H$$_2$$SO$$_4$$ solution is mixed with 600 mL of 0.1 M NaOH solution, the increase in temperature of the final solution is _________ $$\times 10^{-2}$$ K. (Round off to the nearest integer).
[Use: H$$^+$$(aq) + OH$$^-$$(aq) $$\rightarrow$$ H$$_2$$O: $$\Delta_r H = -57.1$$ kJ mol$$^{-1}$$
Specific heat of H$$_2$$O = 4.18 J K$$^{-1}$$ g$$^{-1}$$, density of H$$_2$$O = 1.0 g cm$$^{-3}$$
Assume no change in volume of solution on mixing.]

The equilibrium constant for the reaction $$A(s) \rightleftharpoons M(s) + \frac{1}{2}O_2(g)$$ is $$K_p = 4$$. At equilibrium, the partial pressure of O$$_2$$ is _________ atm. (Round off to the nearest integer)

10.0 mL of 0.05 M KMnO$$_4$$ solution was consumed in a titration with 10.0 mL of given oxalic acid dihydrate solution. The strength of given oxalic acid solution is _________ $$\times 10^{-2}$$ g/L. (Round off to the nearest integer)

The dihedral angle in staggered form of Newmann's projection of 1, 1, 1-Trichloro ethane is _________ degree. (Round off to the nearest integer)

In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is _________ $$\times 10^{-2}$$ (Round off to the nearest integer)

For the cell Cu(s)|Cu$$^{2+}$$(aq)(0.1M)||Ag$$^+$$(aq)(0.01M)|Ag(s) the cell potential E$$_1$$ = 0.3095 V. For the cell Cu(s)|Cu$$^{2+}$$(aq)(0.01M)||Ag$$^+$$(aq)(0.001M)|Ag(s) the cell potential = $$x \times 10^{-2}$$ V. Find value of x.
(Round off to the Nearest Integer).
[Use: $$\frac{2.303 RT}{F} = 0.059$$ J]

For the first order reaction A $$\rightarrow$$ 2B, 1 mole of reactant A gives 0.2 moles of $$B$$ after 100 minutes. The half life of the reaction is _________ min. (Round off to nearest integer).
[$$Use: ln 2 = 0.69, ln 10 = 2.3$$
Properties of logarithms: $$\ln x^y = y \ln x$$
$$\ln\left(\frac{x}{y}\right)=\ln x-\ln y$$]
(Round off to the nearest integer)

3 moles of metal complex with formula Co(en)$$_2$$Cl$$_3$$ gives 3 moles of silver chloride on treatment with excess of silver nitrate. The secondary valency of Co in the complex is _________ (Round off to the nearest integer)