NTA JEE Mains 22nd Jan 2025 Shift 1

The number of molecules/ions that show linear geometry among the following is ______
$$ \mathrm{SO_2},\ \mathrm{BeCl_2},\ \mathrm{CO_2},\ \mathrm{N_3^-},\ \mathrm{NO_2},\ \mathrm{F_2O},\ \mathrm{XeF_2},\ \mathrm{NO_2^+},\ \mathrm{I_3^-},\ \mathrm{O_3} $$

$$ A \rightarrow B $$ The molecule A changes into its isomeric form B by following a first order kinetics at a temperature
of 1000 K . If the energy barrier with respect to reactant energy for such isomeric transformation is $$ 191.48kJ \text{ }Mol^{-1}\text{ and the frequency factor is }10^{20},$$ the time required for 50% molecules of A to become B is
_________ picoseconds (nearest integer). $$[R=8.314 JK^{-1} mol^{-1}]$$

Consider the following sequence of reactions :

Molar mass of the product formed (A) is ______$$gmol^{-1}$$.

Some $$CO_2$$ gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of $$CO_2$$ gas was later passed through an aqueous solution of $$Ca(OH)_2$$. The excess unreacted $$Ca(OH)_2$$ was later neutralized with 0.1 M of 40 mL HCl . If the volume of the sealed container of $$CO_2$$ was $$x$$, then $$x$$ is ________$$cm^{3}$$ (nearest integer). [Given : The entire amount of $$CO_2 (g)$$reacted with exactly half the initial amount of $$Ca(OH)_2$$ present in the aqueous solution.]

In Carius method for estimation of halogens, 180 mg of an organic compound produced 143.5 mg of AgCl . The percentage composition of chlorine in the compound is _______ \%. (Given : molar mass in $$gmol^{-1} \text{ of } Ag: 108, Cl: 35.5$$)