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JEE Mains | PYQ

A solution of sugar is obtained by mixing \( 200 \, \text{g} \) of its \( 25\% \) solution and \( 500 \, \text{g} \) of its \( 40\% \) solution (both by mass). The mass percentage of the resulting sugar solution is ______. (Nearest integer)

The volume of \( 0.02 \, \mathrm{M} \) aqueous \( \mathrm{HBr} \) required to neutralize \( 10.0 \, \mathrm{mL} \) of \( 0.01 \, \mathrm{M} \) aqueous \( \mathrm{Ba(OH)_2} \) is: (Assume complete neutralization)

The volume of \( \mathrm{HCl} \), containing \( 73 \, \mathrm{g \, L^{-1}} \), required to completely neutralize \( \mathrm{NaOH} \) obtained by reacting \( 0.69 \, \mathrm{g} \) of metallic sodium with water, is _______ \( \mathrm{mL} \). (Nearest Integer)
(Given: molar Masses of \( \mathrm{Na} \), \( \mathrm{Cl} \), \( \mathrm{O} \), \( \mathrm{H} \), are \( 23 \), \( 35 \), \( 5 \), \( 16 \) and \( 1 \, \mathrm{g \, mol^{-1}} \) )

If \( 5 \) moles of \( \text{BaCl}_2 \) is mixed with \( 2 \) moles of \( \text{Na}_3\text{PO}_4 \), the maximum number of moles of \( \text{Ba}_3(\text{PO}_4)_2 \) formed is __________ (Nearest integer)

The number of units, which are used to express concentration of solutions from the following is _______
Mass percent, Mole, Mole fraction, Molarity, ppm, Molality

The density of \( 3 \, \text{M} \) solution of \( \text{NaCl} \) is \( 1.0 \, \text{g} \, \text{mL}^{-1} \). Molality of the solution is ______ \( \times 10^{-2} \, \text{m} \). (Nearest integer).
Given : Molar mass of \( \text{Na} \) and \( \text{Cl} \) is \( 23 \) and \( 35.5 \, \text{g} \, \text{mol}^{-1} \) respectively.

\( 5 \, \text{g} \) of \( \mathrm{NaOH} \) was dissolved in deionized water to prepare at \( 450 \, \text{mL} \) stock solution. What volume (in \( \text{mL} \)) of this solution would be required to prepare \( 500 \, \text{mL} \) of \( 0.1 \, \text{M} \) solution? ________.
Given : Molar Mass of \( \mathrm{Na} \), \( \mathrm{O} \) and \( \mathrm{H} \) is \( 23 \), \( 16 \) and \( 1 \, \text{g mol}^{-1} \) respectively

\( 0.5 \, \text{g} \) of an organic compound \((X)\) with \( 60\% \) carbon will produce ________ \( \times 10^{-1} \, \text{g} \) of \( \mathrm{CO_2} \) on complete combustion.

Assume carbon buns according to following equation:
\( 2\mathrm{C(s)} + \mathrm{O_2(g)} \rightarrow 2\mathrm{CO(g)} \)
When \( 12 \, \text{g} \) carbon is burnt in \( 48 \, \text{g} \) of oxygen, the volume of carbon monoxide produced is ________ \( \times 10^{-1} \, \text{L} \) at STP [Nearest integer]
[Given: Assume CO as ideal gas, Mass of C is \( 12 \, \text{g mol}^{-1} \), Mass of O is \( 16 \, \text{g mol}^{-1} \) and molar volume of an ideal gas at STP is \( 22.7 \, \text{L mol}^{-1} \)]

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reasons R.
Assertion A: \( 3.1500 \, \text{g} \) of hydrated oxalic acid dissolved in water to make \( 250.0 \, \text{mL} \) solution will result in \( 0.1 \, \text{M} \) oxalic acid solution.
Reason R: Molar mass of hydrated oxalic acid is \( 126 \, \text{g mol}^{-1} \).
In the light of the above statements, choose the correct answer from the options given below:

The volume of hydrogen liberated at \( \mathrm{STP} \) by treating \( 24 \, \mathrm{g} \) of magnesium with excess of hydrochloric acid is ________ \( \times 10^{-2} \, \mathrm{L} \).
Given: Molar volume of gas is \( 22.4 \, \mathrm{L} \) at \( \mathrm{STP} \)
Molar mass of magnesium is \( 24 \, \mathrm{g \, mol^{-1}} \)

A solution is prepared by adding \( 2 \, \text{g} \) of “X” to \( 1 \, \text{mole} \) of water. Mass percent of “X” in the solution is:

Which of the following have same number of significant figures?
A \( 0.00253 \)    B \( 1.0003 \)    C \( 15.0 \)    D \( 163 \)
Choose the correct answer from the options given below:

Incorrect statement for the use of indicators in acid-base titration is:

A metal chloride contains \( 55.0\% \) of chlorine by weight. \( 100 \, \text{mL} \) vapours of the metal chloride at STP weigh \( 0.57 \, \text{g} \). The molecular formula of the metal chloride is:
(Given: Atomic mass of chlorine is \( 35.5 \, \text{u} \))

When a hydrocarbon A undergoes combustion in the presence of air, it requires \( 9.5 \) equivalents of oxygen and produces \( 3 \) equivalents of water. What is the molecular formula of A?

What is the mass ratio of ethylene glycol \( \left(\mathrm{C_2H_6O_2}, \text{ molar mass } = 62 \, \text{g/mol}\right) \) required for making \( 500 \, \text{g} \) of \( 0.25 \) molal aqueous solution and \( 250 \, \text{mL} \) of \( 0.25 \) molal aqueous solution?

The number of molecules and moles in \( 2.8375 \) litres of \( \mathrm{O_2} \) at STP are respectively:

Zinc reacts with hydrochloric acid to give hydrogen and zinc chloride. The volume of hydrogen gas produced at STP from the reaction of \( 11.5 \, \text{g} \) of zinc with excess \( \text{HCl} \) is ______ \( \text{L} \) (nearest integer).
(Given: Molar mass of \( \text{Zn} \) is \( 65.4 \, \text{g mol}^{-1} \) and molar volume of \( \text{H}_{2} \) at STP \( = 22.7 \, \text{L} \) )

An organic compound gives \( 0.220 \, \text{g} \) of \( \mathrm{CO_2} \) and \( 0.126 \, \text{g} \) of \( \mathrm{H_2O} \) on complete combustion. If the \( \% \) of carbon is \( 24 \) then the \( \% \) of hydrogen is _______ \( \times 10^{-1} \). (Nearest integer)

Match List-I with List-II.

Choose the correct answer from the options given below: