NTA JEE Main 22nd July 2021 Shift 1

Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene (Nearest integer)

Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to:

If the standard molar enthalpy change for combustion of graphite powder is $$-2.48 \times 10^2$$ kJ mol$$^{-1}$$, the amount of heat generated on combustion of 1 g of graphite powder in kJ (Nearest integer):

Value of K$$_P$$ for the equilibrium reaction N$$_2$$O$$_4$$(g) $$\rightleftharpoons$$ 2NO$$_2$$(g) at 288 K is 47.9. The K$$_C$$ for this reaction at same temperature is (Nearest integer)
(R = 0.083 L bar K$$^{-1}$$ mol$$^{-1}$$)

The number of acyclic structural isomers (including geometrical isomers) for pentene are ___.

A copper complex crystallising in a CCP lattice with a cell edge of 0.4518 nm has been revealed by employing X-ray diffraction studies. The density of a copper complex is found to be 7.62 g cm$$^{-3}$$. The molar mass of copper complex is ___ gmol$$^{-1}$$
(Nearest integer): [Given : N$$_A$$ = 6.022 $$\times 10^{23}$$ mol$$^{-1}$$]

If the concentration of glucose (C$$_6$$H$$_{12}$$O$$_6$$) in blood is 0.72 gL$$^{-1}$$, the molarity of glucose in blood is ___ $$\times 10^{-3}$$M (Nearest integer):
[Given : Atomic mass of C = 12, H = 1, O = 16 u]

Assume a cell with the following reaction Cu$$_{(s)}$$ + 2Ag$$^+$$(1 $$\times 10^{-3}$$M) $$\to$$ Cu$$^{2+}$$(0.250M) + 2Ag$$_{(s)}$$
E$$^\circ_{cell}$$ = 2.97 V
E$$_{cell}$$ for the above reaction is ___ V.
(Nearest integer)
[Given : log 2.5 = 0.3979, T = 298 K]

N$$_2$$O$$_{5(g)} \to$$ 2NO$$_{2(g)}$$ + $$\frac{1}{2}$$O$$_{2(g)}$$
In the above first order reaction the initial concentration of N$$_2$$O$$_5$$ is $$2.40 \times 10^{-2}$$ mol L$$^{-1}$$ at 318 K. The concentration of N$$_2$$O$$_5$$ after 1 hour was $$1.60 \times 10^{-2}$$ mol L$$^{-1}$$. The rate constant of the reaction at 318 K is ___ $$\times 10^{-3}$$ min$$^{-1}$$ (Nearest integer):
[Given : log 3 = 0.477, log 5 = 0.699]

The total number of unpaired electrons present in [Co(NH$$_3$$)$$_6$$]Cl$$_2$$ and [Co(NH$$_3$$)$$_6$$]Cl$$_3$$ is ___.