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NTA JEE Main 29th July 2022 Shift 1 - Chemistry

For the following questions answer them individually

$$N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$$
Consider the reaction: . If 20 g of dinitrogen reacts with 5 g of dihydrogen, then the limiting reagent of the reaction and number of moles of $$NH_3$$ formed respectively are

The minimum uncertainty in the speed of an electron in one dimensional region of length $$2a_0$$ (Where $$a_0$$ = Bohr radius = 52.9 pm) is _____ km s$$^{-1}$$ (Nearest integer) (Given: Mass of electron $$= 9.1 \times 10^{-31}$$ kg, Planck's constant $$h = 6.63 \times 10^{-34}$$ Js)

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When 600 mL of 0.2 M $$HNO_3$$ is mixed with 400 mL of 0.1 M NaOH solution in a flask, the rise in temperature of the flask is _____ $$\times 10^{-2}$$ °C (Enthalpy of neutralisation = 57 kJ mol$$^{-1}$$ and Specific heat of water = 4.2 J K$$^{-1}$$ g$$^{-1}$$) (Neglect heat capacity of flask)

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In bromination of Propyne, with Bromine 1,1,2,2-tetrabromopropane is obtained in 27% yield. The amount of 1,1,2,2-tetrabromopropane obtained from 1 g of Bromine in this reaction is _____ $$\times 10^{-1}$$ g. (Molar Mass: Bromine = 80 g/mol)

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Ionic radii of cation $$A^+$$ and anion $$B^-$$ are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for $$B^-$$. $$A^+$$ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is _____ pm.

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If $$O_2$$ gas is bubbled through water at 303 K, the number of millimoles of $$O_2$$ gas that dissolve in 1 litre of water is _____ (Nearest integer) (Given: Henry's Law constant for $$O_2$$ at 303 K is 46.82k bar and partial pressure of $$O_2$$ = 0.920 bar) (Assume solubility of $$O_2$$ in water is too small, nearly negligible)

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Resistance of a conductivity cell (cell constant 129 m$$^{-1}$$) filled with 74.5 ppm solution of KCl is 100 $$\Omega$$ (labelled as solution 1). When the same cell is filled with KCl 149 ppm solution of KCl, the resistance is 50 $$\Omega$$ (labelled as solution 2). The ratio of molar conductivity of solution 1 and solution 2 is i.e. $$\frac{\Lambda_1}{\Lambda_2} = x \times 10^{-3}$$. The value of x is _____ (Given, molar mass of KCl is 74.5 g mol$$^{-1}$$)

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The reaction between X and Y is first order with respect to X and zero order with respect to Y.

Experiment[X] mol L$$^{-1}$$[Y] mol L$$^{-1}$$Initial rate mol L$$^{-1}$$ min$$^{-1}$$
I0.10.1$$2 \times 10^{-3}$$
IIL0.2$$4 \times 10^{-3}$$
III0.40.4$$M \times 10^{-3}$$
IV0.10.2$$2 \times 10^{-3}$$


Examine the data of table and calculate ratio of numerical values of M and L.

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