List of practice Questions

A vessel contains total 95 litre mixture of milk & water in the ratio 15 : 4 respectively P litre of mixture taken out from the vessel and 18 litres water added in the remaining mixture, then the new ratio of milk to water becomes 3 : 2, find the value of P?

Consider the circuit shown below and find the minimum number of NAND gates required to design it.

Consider the following minterm expression for $ F $: \[ F(P, Q, R, S) = \Sigma(0, 2, 5, 7, 8, 10, 13, 15) \] $\text{The minterms 2, 7, 8, and 13 are don't care terms. The minimal sum of products form for F is}$

Consider the following Boolean expression for F: $ F(P, Q, R, S) = PQ + PQR + \overline{P}QR $. The minimum sum of products form of F is

Equivalent of the decimal number $ (25.375)_{10} $ in binary form

Let $ \oplus $ and $ \odot $ denote the Exclusive-OR and Exclusive-NOR operations respectively. Which one of the following is not correct?

The column of a solution of 0.05 mol L$^{-1}$ NaOH has diameter 2.0 cm and length 100 cm. The resistance of the column of solution is 5.55 $\times$ 10$^3$ ohm. Calculate its resistivity, conductivity and molar conductivity.

Explain with reasons:
(i) Sulphuric acid is not used in the reaction of alcohol and KI.
(ii) Haloalkanes form alkyl cyanide as chief product on reaction with KCN, while isocyanide as chief product on reaction with AgCN.
(iii) Although chlorine is an electron withdrawing group, even then it is ortho- and para-directing in aromatic electrophilic substitution reactions.

Explain the following:
(i) NCl$_3$ occurs but NCl$_5$ does not. Why?
(ii) Why are halogens strong oxidising agents?

Find the osmotic pressure of $\dfrac{M}{10}$ urea solution at 27$^\circ$C. (R = 0.0821 litre atm K$^{-1}$ mol$^{-1}$)

Write short notes on the following:
(i) Aldol condensation
(ii) Decarboxylation
(iii) Cannizzaro reaction

How will you obtain Benzoic Acid from the following?
(i) Toluene
(ii) Benzamide
(iii) Ethyl benzoate

Write the formulae of the following coordination compounds on the basis of I.U.P.A.C. rules:
(i) Dichloridobis(ethane-1,2-diamine)cobalt(III) chloride
(ii) Iron(III) hexacyanidoferrate(II)

At 298 K write Nernst equation for the following cell – Ni $\vert$ Ni$^{2+}$ (0.01 M) $\Vert$ Cu$^{2+}$ (0.1 M) $\vert$ Cu. If the emf of the above cell ($E_{cell}$) is 0.59 V then calculate the standard emf of the cell ($E^\circ_{cell}$)

The concentration of the solution of glucose in water is 10% (w/w). If the density of this solution is 1.20 g mL$^{-1}$, then calculate –
(i) Molality
(ii) Molarity
(iii) Mole fraction of each component in solution

The velocity constant for the first order reaction is $6.93 \times 10^{-3}$ min$^{-1}$. Calculate the half-life of this reaction.

Which one of the ions Fe$^{2+}$ and Fe$^{3+}$ is more paramagnetic and why?

How will you obtain the following:
(i) Diethyl ether from Sodium ethoxide
(ii) Benzyl alcohol from Benzyl chloride
(iii) Propan-1-ol from Ethyl Magnesium bromide

Write short notes on the following:
(A) Wurtz–Fittig Reaction
(B) Fittig’s Reaction

Write short notes on the following:
(i) Etard Reaction
(ii) Gattermann–Koch Reaction
(iii) Cannizzaro’s Reaction
(iv) Aldol Condensation

What happens, when – (Give chemical equations only)
(i) Acetaldehyde reacts with Tollen’s reagent.
(ii) Formaldehyde reacts with NaOH.
(iii) Benzamide undergoes acidic hydrolysis.

The initial concentration of N$_2$O$_5$ in the following first order reaction $N_2O_5(g) \longrightarrow 2NO_2(g) + \tfrac{1}{2} O_2(g)$ was $1.24 \times 10^{-2}$ mol L$^{-1}$ at 318 K. The concentration of N$_2$O$_5$ after 60 minutes was $0.20 \times 10^{-2}$ mol L$^{-1}$. Calculate the rate constant of the reaction at 318 K.

Silver crystallises in f.c.c. lattice. If edge length of the cell is $4.077 \times 10^{-8}$ cm and density is $10.5 \, \text{gm cm}^{-3}$, calculate the atomic mass of silver.

Reaction RCOOAg $\xrightarrow{Br_{2}/CCl_{4}}$ RBr is called:

Write chemical equations for the following:
(i) Kolbe reaction
(ii) Reimer-Tiemann reaction
(iii) Oxidation of Phenol
(iv) Williamson synthesis
(v) Industrial preparation of Methanol