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NTA JEE Main 5th September 2020 Shift 1 - Chemistry

For the following questions answer them individually

The difference between the radii of 3rd and 4th orbits of $$\text{Li}^{2+}$$ is $$\Delta R_1$$. The difference between the radii of 3rd and 4th orbits of $$\text{He}^+$$ is $$\Delta R_2$$. Ratio $$\Delta R_1 : \Delta R_2$$ is:

Consider the following reaction:
$$\text{N}_2\text{O}_4(g) = 2\text{NO}_2(g);\;\Delta H^0 = +58\,\text{k}$$
For each of the following cases (a, b), the direction in which the equilibrium shifts is:
(a) Temperature is decreased.
(b) Pressure is increased by adding $$\text{N}_2$$ at constant T.

The equation that represents the water-gas shift reaction is:

A diatomic molecule $$\text{X}_2$$ has a body-centred cubic (bcc) structure with a cell edge of $$300\,\text{pm}$$. The density of the molecule is $$6.17\,\text{g cm}^{-3}$$. The number of molecules present in $$200\,\text{g}$$ of $$\text{X}_2$$ is: (Avogadro constant $$(N_A) = 6 \times 10^{23}\,\text{mol}^{-1}$$)

A flask contains a mixture of compounds A and B. Both compounds decompose by first-order kinetics. The half-lives for A and B are $$300\,\text{s}$$ and $$180\,\text{s}$$, respectively. If the concentrations of A and B are equal initially, the time required for the concentration of A to be four times that of B (in s) is: (Use $$\ln 2 = 0.693$$)

An Ellingham diagram provides information about:

The correct electronic configuration and spin-only magnetic moment (BM) of $$\text{Gd}^{3+}$$ ($$Z = 64$$), respectively, are:

The values of the crystal field stabilization energies for a high spin $$d^6$$ metal ion in octahedral and tetrahedral fields, respectively, are:

A soft drink was bottled with a partial pressure of $$\text{CO}_2$$ of $$3\,\text{bar}$$ over the liquid at room temperature. The partial pressure of $$\text{CO}_2$$ over the solution approaches a value of $$30\,\text{bar}$$ when $$44\,\text{g}$$ of $$\text{CO}_2$$ is dissolved in $$1\,\text{kg}$$ of water at room temperature. The approximate pH of the soft drink is __________ $$\times 10^{-1}$$. (First dissociation constant of $$\text{H}_2\text{CO}_3 = 4.0 \times 10^{-7}$$; $$\log 2 = 0.3$$; density of the soft drink $$= 1\,\text{g mL}^{-1}$$)

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An oxidation-reduction reaction in which 3 electrons are transferred has a $$\Delta G^0$$ of $$17.37\,\text{kJ mol}^{-1}$$ at $$25^\circ\text{C}$$. The value of $$E^0_{\text{cell}}$$ (in V) is __________ $$\times 10^{-2}$$. ($$1\text{F} = 96500\,\text{C mol}^{-1}$$)

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