NTA JEE Main 25th June 2022 Shift 1

The number of N atoms in $$681$$ g of $$C_7H_5N_3O_6$$ is $$x \times 10^{21}$$. The value of $$x$$ is ______ (Nearest Integer)
$$N_A = 6.02 \times 10^{23}$$ mol$$^{-1}$$

$$1$$ L aqueous solution of $$H_2SO_4$$ contains $$0.02$$ m mol $$H_2SO_4$$. $$50\%$$ of this solution is diluted with deionized water to give $$1$$ L solution A. In solution A, $$0.01$$ m mol of $$H_2SO_4$$ are added. Total m mols of $$H_2SO_4$$ in the final solution is ______ $$\times 10^{-3}$$ m moles.

Number of grams of bromine that will completely react with $$5.0$$ g of pent-1-ene is ______ $$\times 10^{-2}$$ g. (Atomic mass of Br $$= 80$$ g/mol) [Nearest integer]

The longest wavelength of light that can be used for the ionisation of lithium ion $$Li^{2+}$$ is $$x \times 10^{-8}$$ m. The value of $$x$$ is ______ (Nearest Integer)
(Given : Energy of the electron in the first shell of the hydrogen atom is $$-2.2 \times 10^{-18}$$ J; $$h = 6.63 \times 10^{-34}$$ Js and $$c = 3 \times 10^{8}$$ ms$$^{-1}$$)

The standard entropy change for the reaction
$$4Fe(s) + 3O_2(g) \to 2Fe_2O_3(s)$$ is $$-550$$ J K$$^{-1}$$ at $$298$$ K
[Given : The standard enthalpy change for the reaction is $$-165$$ kJ mol$$^{-1}$$]. The temperature in K at which the reaction attains equilibrium is (Nearest Integer) ______

The standard free energy change $$\Delta G°$$ for $$50\%$$ dissociation of $$N_2O_4$$ into $$NO_2$$ at $$27°$$C and $$1$$ atm pressure is $$-x$$ J mol$$^{-1}$$. The value of $$x$$ is ______ J. (Nearest Integer)
[Given : $$R = 8.31$$ J K$$^{-1}$$ mol$$^{-1}$$, $$\log 1.33 = 0.1239$$, $$\ln 10 = 2.3$$]

The distance between $$Na^+$$ and $$Cl^-$$ ions in solid NaCl of density $$43.1$$ g cm$$^{-3}$$ is ______ $$\times 10^{-10}$$ m. (Nearest Integer)
(Given : $$N_A = 6.02 \times 10^{23}$$ mol$$^{-1}$$)

In a cell, the following reactions take place
$$Fe^{2+} \to Fe^{3+} + e^-$$ $$E^\circ_{Fe^{3+}/Fe^{2+}} = 0.77$$ V
$$2I^- \to I_2 + 2e^-$$ $$E^\circ_{I_2/I^-} = 0.54$$ V
The standard electrode potential for the spontaneous reaction in the cell is $$x \times 10^{-2}$$ V at $$298$$ K. The value of $$x$$ is ______ (Nearest Integer)

For a given chemical reaction $$\gamma_1 A + \gamma_2 B \to \gamma_3 C + \gamma_4 D$$. Concentration of C changes from $$10$$ mmol dm$$^{-3}$$ to $$20$$ mmol dm$$^{-3}$$ in $$10$$ s. Rate of appearance of D is $$1.5$$ times the rate of disappearance of B which is twice the rate of disappearance of A. The rate of appearance of D has been experimentally determined to be $$9$$ mmol dm$$^{-3}$$ s$$^{-1}$$. Therefore the rate of reaction is ______ mmol dm$$^{-3}$$ s$$^{-1}$$. (Nearest Integer)

If $$[CuH_2O_4]^{2+}$$ absorbs a light of wavelength $$600$$ nm for d-d transition, then the value of octahedral crystal field splitting energy for $$[CuH_2O_6]^{2+}$$ will be ______ $$\times 10^{-21}$$ J [Nearest integer]
(Given : $$h = 6.63 \times 10^{-34}$$ Js and $$c = 3.08 \times 10^{8}$$ ms$$^{-1}$$)