NTA JEE Main 27th July 2021 Shift 1

The density of NaOH solution is 1.2 g cm$$^{-3}$$. The molality of this solution is _________ m (Round off to the Nearest Integer):
[Use: Atomic masses: Na : 23.0u, O : 16.0u, H : 1.0u
Density of H$$_2$$O : 1.0 g cm$$^{-3}$$]

In gaseous triethyl amine the C-N-C bond angle is _________ degree.

The difference between bond orders of CO and NO$$^{\oplus}$$ is $$\frac{x}{2}$$ where x = _________ (Round off to the Nearest Integer)

For water at 100°C and 1 bar,
$$\Delta_{vap}H - \Delta_{vap}U = \_ \times 10^2$$ J mol$$^{-1}$$
(Round off to the Nearest Integer)
[Use: R = 8.31 J mol$$^{-1}$$ K$$^{-1}$$]
[Assume volume of H$$_2$$O(l) is much smaller than volume of H$$_2$$O(g). Assume H$$_2$$O(g) treated as an ideal gas]

$$PCl_5 \rightleftharpoons PCl_3 + Cl_2 \quad K_c = 1.844$$
3.0 moles of PCl$$_5$$ is introduced in a 1L closed reaction vessel at 380 K. The number of moles of PCl$$_5$$ at equilibrium is _________ $$\times 10^{-3}$$ (Round off to the Nearest Integer)

An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is reacted with AgNO$$_3$$ [Carius Method], the percentage of chlorine in compound A is when it forms 0.3849 g of AgCl. (Round off to the Nearest Integer)
(Atomic masses of Ag and Cl are 107.87 and 35.5 respectively)

1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of $$2.42 \times 10^{-3}$$ bar.
The molar mass of the biopolymer is _________ $$\times 10^4$$ g mol$$^{-1}$$. (Round off to the Nearest Integer)
[Use: R = 0.083 L bar mol$$^{-1}$$ K$$^{-1}$$]

The conductivity of a weak acid HA of concentration 0.001 mol L$$^{-1}$$ is $$2.0 \times 10^{-5}$$ S cm$$^{-1}$$. If $$\Lambda_m^0(HA) = 190$$ S cm$$^2$$ mol$$^{-1}$$, the ionization constant (K$$_a$$) of HA is equal to _________ $$\times 10^{-6}$$ (Round off to the Nearest Integer)

CO$$_2$$ gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of CO$$_2$$ adsorbed becomes 64 times when the pressure of CO$$_2$$ is doubled.
The value of n in the Freundlich isotherm equation is _________ $$\times 10^2$$. (Round off to the Nearest Integer)

The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X and in trioxalatochromate (III) is Y. Then the value of X + Y is _________.