NTA JEE Main 13th April 2023 Shift 2

$$1.1$$ g of a carbonate M$$_2$$CO$$_3$$ on treatment with excess HCl produces $$0.01$$ mol of CO$$_2$$. The molar mass of M$$_2$$CO$$_3$$ is _____ g mol$$^{-1}$$. (Nearest integer)

The orbital angular momentum of an electron in $$3$$ s orbital is $$\frac{xh}{2\pi}$$. The value of x is _____ (nearest integer)

$$20$$ mL of $$0.1$$ M NaOH is added to $$50$$ mL of $$0.1$$ M acetic acid solution. The pH of the resulting solution is _____ $$\times 10^{-2}$$. (Nearest integer) Given : pKa CH$$_3$$COOH $$= 4.76$$
log 2 = 0.30
log 3 = 0.48

See the following chemical reaction:
Cr$$_2$$O$$_7^{2-}$$ + XH$$^+$$ + 6Fe$$^{2+}$$ $$\to$$ YCr$$^{3+}$$ + 6Fe$$^{3+}$$ + ZH$$_2$$O
The sum of X, Y and Z is _____.

If the formula of Borax is Na$$_2$$ B$$_4$$O$$_x$$(OH)$$_y$$ $$\cdot$$ zH$$_2$$O, then x + y + z = _____

$$0.400$$ g of an organic compound (X) gave $$0.376$$ g of AgBr in Carius method for estimation of bromine. % of bromine in the compound (X) is (Given: Molar mass AgBr $$= 188$$ g mol$$^{-1}$$, Br $$= 80$$ g mol$$^{-1}$$)

Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of $$4$$ A. The radius of sodium atom is _____ $$\times 10^{-1}$$ A. (Nearest integer)

Sea water contains $$29.25$$% NaCl and $$19$$% MgCl$$_2$$ by weight of solution. The normal boiling point of the sea water is _____ °C (Nearest integer) Assume 100% ionization for both NaCl and MgCl$$_2$$. Given:
K$$_b$$H$$_2$$O $$= 0.52$$ K kg mol$$^{-1}$$. Molar mass of NaCl and MgCl$$_2$$ is $$58.5$$ and $$95$$ g mol$$^{-1}$$ respectively.

At 298 K, the standard reduction potential for Cu$$^{2+}$$/Cu electrode is 0.34 V. Given :
K$$_{sp}$$Cu(OH)$$_2$$ $$= 1 \times 10^{-20}$$. Take $$\frac{2.303RT}{F} = 0.059$$ V. The reduction potential at pH = 14 for the above couple is $$(-) x \times 10^{-2}$$ V. The value of x is _____.

A(g) $$\to$$ 2B(g) + C(g) is a first order reaction. The initial pressure of the system was found to be $$800$$ mm Hg which increased to $$1600$$ mm Hg after $$10$$ min. The total pressure of the system after $$30$$ min will be _____ mm Hg. (Nearest integer)