NTA JEE Main 26th July 2022 Shift 1

Chlorophyll extracted from the crushed green leaves was dissolved in water to make $$2 \text{ L}$$ solution of Mg of concentration $$48 \text{ ppm}$$. The number of atoms of Mg in this solution is $$x \times 10^{20}$$ atoms. The value of $$x$$ is ______ (Nearest Integer) (Given: Atomic mass of Mg is $$24 \text{ g mol}^{-1}$$, $$N_A = 6.02 \times 10^{23} \text{ mol}^{-1}$$)

When $$800 \text{ mL}$$ of $$0.5M$$ nitric acid is heated in a beaker, its volume is reduced to half and $$11.5 \text{ g}$$ of nitric acid is evaporated. The molarity of the remaining nitric acid solution is $$x \times 10^{-2} \text{ M}$$. (Molar mass of nitric acid is $$63 \text{ g mol}^{-1}$$)

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $$x$$ times the velocity of neutron. The value of $$x$$ is ______ (the nearest integer) (Mass of electron is $$9.1 \times 10^{-31} \text{ kg}$$ and mass of neutron is $$1.6 \times 10^{-27} \text{ kg}$$)

A mixture of hydrogen and oxygen contains $$40\%$$ hydrogen by mass when the pressure is $$2.2 \text{ bar}$$. The partial pressure of hydrogen is ______ bar.

$$2.4 \text{ g}$$ coal is burnt in a bomb calorimeter in excess of oxygen at $$298 \text{ K}$$ and $$1 \text{ atm}$$ pressure. The temperature of the calorimeter rises from $$298 \text{ K}$$ to $$300 \text{ K}$$. The enthalpy change during the combustion of coal is $$-x \text{ kJ mol}^{-1}$$. The value of $$x$$ is ______ (Given: Heat capacity of bomb calorimeter $$20.0 \text{ kJ K}^{-1}$$. Assume coal to be pure carbon)

At $$298 \text{ K}$$, the equilibrium constant is $$2 \times 10^{15}$$ for the reaction:
$$Cu(s) + 2Ag^+(aq) \rightleftharpoons Cu^{2+}(aq) + 2Ag(s)$$
The equilibrium constant for the reaction
$$\dfrac{1}{2}Cu^{2+}(aq) + Ag(s) \rightleftharpoons \dfrac{1}{2}Cu(s) + Ag^+(aq)$$
is $$x \times 10^{-8}$$. The value of $$x$$ is ______.

In the presence of sunlight, benzene reacts with $$Cl_2$$ to give product X. The number of hydrogens in X is ______.

The amount of charge in F (Faraday) required to obtain one mole of iron from $$Fe_3O_4$$ is ______. (Round off to the nearest integer)

For a reaction $$A \rightarrow 2B + C$$, the half lives are $$100 \text{ s}$$ and $$50 \text{ s}$$ when the concentration of reactant A is $$0.5$$ and $$1.0 \text{ mol L =}$$ respectively. The order of the reaction is ______.

The difference between spin only magnetic moment values of $$[Co(H_2O)_6]Cl_2$$ and $$[Cr(H_2O)_6]Cl_3$$ is ______.