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NTA JEE Main 10th January 2019 Shift 1 - Chemistry

For the following questions answer them individually

What are the values of $$\frac{K_p}{K_c}$$ for the following reactions at 300 K respectively?
(At 300 K, RT = 24.62 dm$$^2$$ atm mol$$^{-1}$$)
$$N_2(g) + O_2(g) \rightleftharpoons 2NO(g)$$
$$N_2O_4(g) \rightleftharpoons 2NO(g)$$
$$N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$$

A mixture of 100 m mol of $$Ca(OH)_2$$ and 2 g of sodium sulphate was dissolved in water and the volume was made up to 100 mL. What is the mass of calcium sulphate formed and the concentration of $$OH^-$$ in resulting solution, respectively? (Molar mass of $$Ca(OH)_2$$, $$Na_2SO_4$$ and $$CaSO_4$$ are 74, 143 and 136 g mol$$^{-1}$$, respectively; $$K_{sp}$$ of $$Ca(OH)_2$$ is $$5.5 \times 10^{-6}$$)

If Dichloromethane (DCM) and water $$H_2O$$ are used for differential extraction, which one of the following statements is correct?

Liquids A and B form an ideal solution in the entire composition range. At 350K, the vapour pressure of pure A and pure B are $$7 \times 10^3$$ Pa and $$12 \times 10^3$$ Pa, respectively. The composition of the vapour in equilibrium with a solution containing 40 mole percent of A at this temperature is:

Consider the following reduction processes:
$$Zn^{2+} + 2e^- \rightarrow Zn(s); E^{\circ} = -0.76$$ V
$$Ca^{2+} + 2e^- \rightarrow Ca(s); E^{\circ} = -2.87$$ V
$$Mg^{2+} + 2e^- \rightarrow Mg(s); E^{\circ} = -2.36$$ V
$$Ni^{2+} + 2e^- \rightarrow Ni(s); E^{\circ} = -0.25$$ V
The reducing power of the metals increases in the order:

The effect of lanthanoid contraction in the lanthanoid series of elements by and large means: