NTA JEE Main 16th March 2021 Shift 2

When 35 mL of 0.15 M lead nitrate solution is mixed with 20 mL of 0.12 M chromic sulphate solution, ________ $$\times 10^{-5}$$ moles of lead sulphate precipitate out. (Round off to the Nearest Integer).

The number of orbitals with $$n = 5$$, $$m_l = +2$$ is ________. (Round off to the Nearest Integer).

At 25°C, 50 g of iron reacts with HCl to form $$FeCl_2$$. The evolved hydrogen gas expands against a constant pressure of 1 bar. The work done by the gas during this expansion is ________ J. (Round off to the Nearest Integer)
[Given: $$R = 8.314$$ J mol$$^{-1}$$ K$$^{-1}$$. Assume, hydrogen is an ideal gas]
[Atomic mass of Fe is 55.85 u]

Sulphurous acid ($$H_2SO_3$$) has $$Ka_1 = 1.7 \times 10^{-2}$$ and $$Ka_2 = 6.4 \times 10^{-8}$$. The pH of 0.588 M $$H_2SO_3$$ is ________. (Round off to the Nearest Integer).

In Duma's method of estimation of nitrogen, 0.1840 g of an organic compound gave 30 mL of nitrogen collected at 287 K and 758 mm of Hg pressure. The percentage composition of nitrogen in the compound is ________. (Round off to the Nearest Integer).
[Given: Aqueous tension at 287 K = 14 mm of Hg]

Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is ________ $$\times 10^{21}$$. (Round off to the Nearest Integer).

At 363 K, the vapour pressure of A is 21 kPa and that of B is 18 kPa. One mole of A and 2 moles of B are mixed. Assuming that this solution is ideal, the vapour pressure of the mixture is ________ kPa. (Round off to the Nearest Integer).

A 5.0 m mol dm$$^{-3}$$ aqueous solution of KCl has a conductance of 0.55 mS when measured in a cell constant 1.3 cm$$^{-1}$$. The molar conductivity of this solution is ________ mS m$$^2$$ mol$$^{-1}$$. (Round off to the Nearest Integer)

A and B decompose via first order kinetics with half-lives 54.0 min and 18.0 min respectively. Starting from an equimolar non-reactive mixture of A and B, the time taken for the concentration of A to become 16 times that of B is ________ min. (Round off to the Nearest Integer).

$$[Ti(H_2O)_6]^{3+}$$ absorbs light of wavelength 498 nm during a d-d transition. The octahedral splitting energy for the above complex is ________ $$\times 10^{-19}$$ J. (Round off to the Nearest Integer).
$$h = 6.626 \times 10^{-34}$$ Js; $$c = 3 \times 10^8$$ ms$$^{-1}$$.