NTA JEE Main 25th February 2021 Shift 2

Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization energy of metal A in kJ mol$$^{-1}$$ is ______. (Rounded-off to the nearest integer)
[$$h = 6.63 \times 10^{-34}$$ Js, $$c = 3.00 \times 10^8$$ ms$$^{-1}$$, $$N_A = 6.02 \times 10^{23}$$ mol$$^{-1}$$]

Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at constant external pressure 4.3 MPa. The heat transferred in this process is ______ kJ mol$$^{-1}$$.
(Rounded-off to the nearest integer)
[Use $$R = 8.314$$ J mol$$^{-1}$$ K$$^{-1}$$]

Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were obtained.
(i) 4.5 mL (ii) 4.5 mL (iii) 4.4 mL (iv) 4.4 mL (v) 4.4 mL
If the volume of oxalic acid taken was 10.0 mL then the molarity of the NaOH solution is ______ M. (Rounded-off to the nearest integer)

Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is ______. (Integer answer)
(A) Li (B) Na (C) Rb (D) Cs

The unit cell of copper corresponds to a face centered cube of edge length 3.596 $$\mathring{A}$$ with one copper atom at each lattice point. The calculated density of copper in kg/m$$^3$$ is ______. [Molar mass of Cu: 63.54 g; Avogadro Number $$= 6.022 \times 10^{23}$$]

If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5 K rise in the boiling point of the solution is ______ molal. (Rounded-off to the nearest integer)
[$$K_b = 0.52$$ K kg mol$$^{-1}$$].

Copper reduces $$NO_3^-$$ into NO and $$NO_2$$ depending upon the concentration of $$HNO_3$$ in solution. (Assuming fixed $$[Cu^{2+}]$$ and $$P_{NO} = P_{NO_2}$$), the $$HNO_3$$ concentration at which the thermodynamic tendency for reduction of $$NO_3^-$$ into NO and $$NO_2$$ by copper is same is $$10^x$$ M. The value of $$2x$$ is ______. (Rounded-off to the nearest integer)
[Given, $$E^\circ_{Cu^{2+}/Cu} = 0.34$$ V, $$E^\circ_{NO_3^-/NO} = 0.96$$ V, $$E^\circ_{NO_3^-/NO_2} = 0.79$$ V and at 298 K, $$\frac{RT}{F}(2.303) = 0.059$$]

The rate constant of a reaction increases by five times on increase in temperature from 27°C to 52°C. The value of activation energy in kJ mol$$^{-1}$$ is ______. (Rounded-off to the nearest integer) [$$R = 8.314$$ J K$$^{-1}$$ mol$$^{-1}$$]

The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is ______ BM.

The number of compound/s given below which contain/s $$-COOH$$ group is ______. (Integer answer)
(A) Sulphanilic acid (B) Picric acid (C) Aspirin (D) Ascorbic acid