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JEE Mains | PYQ

If the concentration of glucose \( \mathrm{(C_6H_{12}O_6} )\) in blood is \( 0.72 \,\mathrm{g\,L^{-1}} \), the molarity of glucose in blood is _______ \( \times 10^{-3} \,\mathrm{M} \). (Nearest integer)
[Given: Atomic mass of \( \mathrm{C} = 12 \), \( \mathrm{H} = 1 \), \( \mathrm{O} = 16 \,\mathrm{u} \)]

If \( 80 \, \text{g} \) of copper sulphate \( \mathrm{CuSO_4 \cdot 5H_2O} \) is dissolved in deionized water to make \( 5 \, \text{L} \) of sodium. The concentration of the copper sulphate solution is \( x \times 10^{-3} \, \text{mol L}^{-1} \). The value of \( x \) is:

Complete combustion of \( 3 \, \text{g} \) of ethane gives \( x \times 10^{22} \) molecules of water. The value of \( x \) is ____________. (Round off to the nearest integer).
[Use: \( N_A = 6.023 \times 10^{23} \); Atomic masses in \( \text{u} \) : \( \text{C} : 12.0 \); \( \text{O} : 16.0 \); \( \text{H} : 1.0 \)]

The density of \( \text{NaOH} \) solution is \( 1.2 \, \text{g cm}^{-3} \). The molality of this solution is ________ \( \text{m} \). (Round off to the Nearest Integer)
[Use: Atomic masses: Na: \( 23.0 \, \text{u} \) O: \( 16.0 \, \text{u} \) H: \( 1.0 \, \text{u} \); Density of \( \text{H}_2\text{O} \): \( 1.0 \, \text{g cm}^{-1} \)]

Sodium oxide reacts with water to produce sodium hydroxide. \( 20.0 \, \text{g} \) of sodium oxide is dissolved in \( 500 \, \text{mL} \) of water. Neglecting the change in volume, the concentration of the resulting NaOH solution is _______ \( \times 10^{-1} \, \text{M} \). (Nearest integer) [Atomic mass: \( \mathrm{Na} = 23.0 \), \( \mathrm{O} = 16.0 \), \( \mathrm{H} = 1.0 \)]

\( 100 \, \text{g} \) of propane is completely reacted with \( 1000 \, \text{g} \) of oxygen. The mole fraction of carbon dioxide in the resulting mixture is \( x \times 10^{-2} \). The value of \( x \) is _______. (Nearest integer)
[Atomic weight : \( \mathrm{H} = 1.008 \); \( \mathrm{C} = 12.00 \); \( \mathrm{O} = 16.00 \)]

The molarity of the solution prepared by dissolving \( 6.3 \, \mathrm{g} \) of oxalic acid \( \left(\mathrm{H_2C_2O_4\cdot 2H_2O}\right) \) in \( 250 \, \mathrm{mL} \) of water in \( \mathrm{mol\, L^{-1}} \) is \( x \times 10^{-2} \). The value of \( x \) is __________ .(Nearest integer)
[Atomic mass: H : \( 1.0 \), C : \( 12.0 \), O : \( 16.0 \)]

Consider the above reaction. The percentage yield of amide product is ________. (Round off to the Nearest Integer) [Given : Atomic mass : \( \mathrm{C}: 12.0\,\text{u} \), \( \mathrm{H}: 1.0\,\text{u} \), \( \mathrm{N}: 14.0\,\text{u} \), \( \mathrm{O}: 16.0\,\text{u} \), \( \mathrm{Cl}: 35.5\,\text{u} \)]

In Duma’s method of estimation of nitrogen, \( 0.1840 \, \text{g} \) of an organic compound gave \( 30 \, \text{mL} \) of nitrogen collected at \( 287 \, \text{K} \) and \( 758 \, \text{mm of Hg} \) pressure. The percentage composition of nitrogen in the compound is __________. (Round off to the Nearest Integer).
[Given : Aqueous tension at \( 287 \, \text{K} \) \( = 14 \, \text{mm of Hg} \)]

\( 10.0 \, \text{mL} \) of \( \mathrm{Na_2CO_3} \) solution is titrated against \( 0.2 \, \mathrm{M} \) \( \mathrm{HCl} \) solution. The following titre values were obtained in \( 5 \) readings. \( 4.8 \, \text{mL} \), \( 4.9 \, \text{mL} \), \( 5.0 \, \text{mL} \), \( 5.0 \, \text{mL} \) and \( 5.0 \, \text{mL} \). Based on these reading, and convention of titrimetric estimation the concentration of \( \mathrm{Na_2CO_3} \) solution is _____ \( \text{mM} \).

The exact volume of \( 1 \, \mathrm{M} \) \( \mathrm{NaOH} \) solution required to neutralize \( 50 \, \mathrm{mL} \) of \( 1 \, \mathrm{M} \) \( \mathrm{H_3PO_3} \) solution and \( 100 \, \mathrm{mL} \) of \( 2 \, \mathrm{M} \) \( \mathrm{H_3PO_2} \) solution, respectively, are:

\( 100 \, \text{mL} \) of \( \mathrm{Na_3PO_4} \) solution contains \( 3.45 \, \text{g} \) of sodium. The molarity of the solution is ______ \( \times 10^{-2} \, \text{mol L}^{-1} \). (Nearest integer)
[Atomic masses - \( \text{Na} : 23.0 \, \text{u} \), \( \text{O} : 16.0 \, \text{u} \), \( \text{P} : 31.0 \, \text{u} \)]

\( 250 \, \text{mL} \) of \( 0.5 \, \text{M} \) \( \mathrm{NaOH} \) was added to \( 500 \, \text{mL} \) of \( 1 \, \text{M} \) \( \mathrm{HCl} \). The number of unreacted \( \mathrm{HCl} \) molecules in the solution after complete reaction is ______ \( \times 10^{21} \). (Nearest integer). ( \( N_A = 6.022 \times 10^{23} \) ).

Consider the above reaction where \( 6.1 \, \text{g} \) of Benzoic acid is used to get \( 7.8 \, \text{g} \) of m-bromo benzoic acid. The percentage yield of the product is____
[Given: Atomic masses: \( \mathrm{C:12.0\,u, \ H:1.0\,u, \ O:16.0\,u, \ Br:80.0\,u} \)].