NTA JEE Main 26th June 2022 Shift 2

CNG is an important transportation fuel. When $$100$$ g CNG is mixed with $$208$$ g oxygen in vehicles, it leads to the formation of $$CO_2$$ and $$H_2O$$ and produces large quantity of heat during this combustion, then the amount of carbon dioxide, produced in grams is ______ [nearest integer] [Assume CNG to be methane]

The moles of methane required to produce $$81$$ g of water after complete combustion is ______ $$\times 10^{-2}$$ mol. [nearest integer]

Amongst $$SF_4, XeF_4, CF_4$$ and $$H_2O$$, the number of species with two lone pairs of electrons is ______

A fish swimming in water body when taken out from the water body is covered with a film of water of weight $$36$$ g. When it is subjected to cooking at $$100°$$C, then the internal energy for vaporization in kJ mol$$^{-1}$$ is ______ [integer]
[Assume steam to be an ideal gas. Given $$\Delta_{vap}H^\circ$$ for water at $$373$$ K and $$1$$ bar is $$41.1$$ kJ mol$$^{-1}$$ : $$R = 8.31$$ J K$$^{-1}$$ mol$$^{-1}$$]

$$40\%$$ of HI undergoes decomposition to $$H_2$$ and $$I_2$$ at $$300$$ K. $$\Delta G^\circ$$ for this decomposition reaction at one atmosphere pressure is ______ J mol$$^{-1}$$ [nearest integer]
(Use $$R = 8.31$$ J K$$^{-1}$$ mol$$^{-1}$$; $$\log 2 = 0.3010$$, $$\ln 10 = 2.3$$, $$\log 3 = 0.477$$)

In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is $$A_xB_y$$. The value of $$x$$ is ______ [nearest integer]

The osmotic pressure exerted by a solution prepared by dissolving $$2.0$$ g of protein of molar mass $$60$$ kg mol$$^{-1}$$ in $$200$$ mL of water at $$27°$$C is ______ Pa. [integer value] (use $$R = 0.083$$ L bar mol$$^{-1}$$ K$$^{-1}$$)

$$Cu(s) + Sn^{2+}(0.001M) \to Cu^{2+}(0.01M) + Sn(s)$$
The Gibbs free energy change for the above reaction at $$298$$ K is $$x \times 10^{-1}$$ kJ mol$$^{-1}$$. The value of $$x$$ is ______ [nearest integer]
[Given : $$E^\circ_{Cu^{2+}/Cu} = 0.34$$ V; $$E^\circ_{Sn^{2+}/Sn} = -0.14$$ V; $$F = 96500$$ C mol$$^{-1}$$]

Catalyst A reduces the activation energy for a reaction by $$10$$ kJ mol$$^{-1}$$ at $$300$$ K. The ratio of rate constants, $$\frac{k_T \text{ Catalysed}}{k_T \text{ Uncatalysed}}$$ is $$e^x$$. The value of $$x$$ is ______ [nearest integer] [Assume that the pre-exponential factor is same in both the cases. Given $$R = 8.31$$ J K$$^{-1}$$ mol$$^{-1}$$]

Reaction of $$[Co(H_2O)_6]^{2+}$$ with excess ammonia and in the presence of oxygen results into a diamagnetic product. Number of electrons present in $$t_{2g}$$-orbitals of the product is ______