NTA JEE Main 13th April 2023 Shift 1

An organic compound gives $$0.220$$ g of CO$$_2$$ and $$0.126$$ g of H$$_2$$O on complete combustion. If the % of carbon is $$24$$ then the % of hydrogen is _____ $$\times 10^{-1}$$. (Nearest integer)

A certain quantity of real gas occupies a volume of $$0.15$$ dm$$^3$$ at $$100$$ atm and $$500$$ K when its compressibility factor is $$1.07$$. Its volume at $$300$$ atm and $$300$$ K (When its compressibility factor is $$1.4$$) is _____ $$\times 10^{-4}$$ dm$$^3$$ (Nearest integer)

A$$_2$$ + B$$_2$$ $$\to$$ 2AB. $$\Delta H_f = -200$$ kJ mol$$^{-1}$$
AB, A$$_2$$ and B$$_2$$ are diatomic molecules. If the bond enthalpies of A$$_2$$, B$$_2$$ and AB are in the ratio 1 : 0.5 : 1, then the bond enthalpy of A$$_2$$ is _____ kJ mol$$^{-1}$$ (Nearest integer)

$$25.0$$ mL of $$0.050$$ M Ba(NO$$_3$$)$$_2$$ is mixed with $$25.0$$ mL of $$0.020$$ M NaF. K$$_{sp}$$ of BaF$$_2$$ is $$0.5 \times 10^{-6}$$ at 298K. The ratio of $$[\text{Ba}^{2+}][\text{F}^-]^2$$ and K$$_{sp}$$ is _____.

KMnO$$_4$$ is titrated with ferrous ammonium sulphate hexahydrate in presence of dilute H$$_2$$SO$$_4$$. Number of water molecules produced for 2 molecules of KMnO$$_4$$ is _____.

$$20$$ mL of calcium hydroxide was consumed when it was reacted with $$10$$ mL of unknown solution of H$$_2$$SO$$_4$$. Also $$20$$ mL standard solution of $$0.5$$ M HCl containing 2 drops of phenolphthalein was titrated with calcium hydroxide, the mixture showed pink colour when burette displayed the value of $$35.5$$ mL whereas the burette showed $$25.5$$ mL initially. The concentration of H$$_2$$SO$$_4$$ is _____ M. (Nearest integer)

Solution of $$12$$ g of non-electrolyte (A) prepared by dissolving it in $$1000$$ mL of water exerts the same osmotic pressure as that of $$0.05$$ M glucose solution at the same temperature. The empirical formula of A is CH$$_2$$O. The molecular mass of A is _____ g. (Nearest integer)

A metal surface of $$100$$ cm$$^2$$ area has to be coated with nickel layer of thickness $$0.001$$ mm. A current of 2A was passed through a solution of Ni(NO$$_3$$)$$_2$$ for 'x' seconds to coat the desired layer. The value of x is _____. (Nearest integer)
($$\rho$$Ni (density of Nickel) is $$10$$ g mL$$^{-1}$$, Molar mass of Nickel is $$60$$ g mol$$^{-1}$$, F $$= 96500$$ C mol$$^{-1}$$)

t$$_{87.5}$$ is the time required for the reaction to undergo $$87.5\%$$ completion and t$$_{50}$$ is the time required for the reaction to undergo $$50\%$$ completion. The relation between t$$_{87.5}$$ and t$$_{50}$$ for a first order reaction is
t$$_{87.5}$$ = x $$\times$$ t$$_{50}$$
The value of x is _____. (Nearest integer)

For the given reaction

The total number of possible products formed by tertiary carbocation of A is _____.