List of practice Questions

An ideal gas of 5 moles has \( C_p = 8 \, \text{cal/mol}^\circ \text{C} \). If its temperature changes from 10°C to 20°C, then calculate the change in its internal energy (in cal).

A small ball of mass 1 kg is released from a height of 20 m on the sand. It penetrates 10 cm in the sand and comes to rest. Find the average force exerted by the sand on the ball. (g = 10 m/s\(^2\))

For first order reaction:
2A(g) → 4B(g) + C(g)
Total pressure at \( t = 30 \, \text{sec} \) and \( t = \infty \) are 300 torr and 600 torr respectively. Calculate pressure of C(g) at 30 sec (in torr).

‘x’ be the osmotic pressure of a solution formed by dissolving 1g of a protein (M = 50,000 g/mol) in 0.5 litre and ‘y’ be the osmotic pressure of solution formed by dissolving 2g of the same protein in 1 litre at 300 K. If ‘z’ be the osmotic pressure of solution formed by mixing above two solutions. Then the value of ‘x’, ‘y’ and ‘z’ respectively are.
\text{Use: \( R = 0.083 \, \text{lit-bar/K-mol} \)}

A metal of work function 2.3 eV is irradiated with radiation of wavelength \( y \times 10^2 \) nm. The maximum kinetic energy of ejected electron is \( 2.8 \times 10^{-20} \) J. Then calculate \( y \) (in nearest integer).

A hydrocarbon has mass ratio of C and H in 12 : 1.
Each molecule of hydrocarbon has 2 carbon atoms.
Calculate mass of \( CO_2 \) (in gm) produced, when 3.38 gm hydrocarbon undergoes combustion.

A cell is formed using the below half-cell reactions, and the cell is working with 80% efficiency. Work obtained is utilized for isothermal expansion of gas against external pressure of 1 kPa. Find \( \Delta V \) (in \( \text{m}^3 \)). \[ \frac{1}{2} O_2 + 2H^+ + 2e^- \rightarrow H_2O; \, E^\circ = 1.23 \, \text{V} \] \[ 6H^+ + CO_2 + 6e^- \rightarrow CH_3OH + H_2O; \, E^\circ = 0.02 \, \text{V} \]

For process \( X \to Y \), work done by the gas is 10 J and heat absorbed in the process is 2 J. For the reverse process, heat evolved is 6 J. Find the work done for the reverse process.

For a reaction \( xA \rightarrow yB, \, k = 0.3 \, \text{M}^{-1} \text{sec}^{-1} \),
(i) If the concentration of A is made 4 times, then the rate of reaction becomes 16 times.
(ii) The decomposition of \( \text{N}_2\text{O}_5 \) is an example of this type of reaction.
(iii) The order of the reaction is 2.
(iv) A plot of \( \ln \left( \frac{[A]_0}{[A]_t} \right) \) vs. \( t \) is a straight line.
(v) The half-life of the reaction is independent of the concentration of the reactant.

Which of the following options has the correct set of statements:

0.1 mole of \( H_2S \) is added in 1 liter of 0.1 HCl solution. Calculate the concentration of \( HS^{-} \).
[Given \( K_{a1} = 8.3 \times 10^{-8} \) and \( K_{a2} = 10^{-13} \)]

20 ml of 0.2 M HA (\( K_a = 5 \times 10^{-4} \)) is titrated with 10 ml of 0.2 M NaOH solution. Calculate the initial and final value of pH of the solution. [Given \( \log 5 = 0.7 \)]

How many of the following are paramagnetic:
Lu\(^{3+}\), Yb\(^{2+}\), Gd\(^{2+}\), Ce\(^{4+}\), La\(^{3+}\), Zn\(^{2+}\), Cu\(^{2+}\), Mn\(^{2+}\), Sc\(^{3+}\), and Ti\(^{4+}\)

Which of the following are iso-structural with \( \text{SF}_4 \)?

The correct set that contains all kinds of oxides (Basic, acidic, amphoteric, and neutral) is:

Statement 1: The correct order of 2\(^\text{nd}\) ionization energy for boron family elements is: \( \text{B}>\text{Al}>\text{Ga} \).
Statement 2: The correct order of 1\(^\text{st}\) ionization energy for carbon family elements is: \( \text{Si}>\text{Ge}<\text{Pb}<\text{Sn} \).
Choose the correct option:

Which of the following compounds shows coordination isomerism?
(A) \( [\text{Fe(NH}_3)_6] [\text{Co(CN)}_6] \)
(B) \( [\text{Cr(NH}_3)_6] [\text{Co(CN)}_6] \)
(C) \( [\text{Co(NH}_3)_6] [\text{Co(CN)}_6] \)
(D) \( [\text{Ag(NH}_3)_2] [\text{Ag(CN)}_2] \)
(E) \( [\text{Fe(NH}_3)_6] [\text{Cr(CN)}_6] \)

Arrange the following complexes in increasing order of C.F.S.E. (\( \Delta_0 \))
(a) \( [\text{Co}(\text{H}_2\text{O})_6]^{2+} \)
(b) \( [\text{Co}(\text{H}_2\text{O})_6]^{3+} \)
(c) \( [\text{Co}(\text{en})_3]^{3+} \)

Which of the ions show positive Borax Bead test and has the largest ionization energy:

Organic compound (X) + KOH \( \overset{H^+}{\rightarrow} \) gives product \( P \) having the same molar ratio of C : H : O. Identify product \( P \).

What will be the mass of AgBr obtained when 1 gm of product is treated with AgNO₃ in the Carius method?

Identify correct statement(s):
(i) \( \text{Ar–Cl} \) and \( \text{R–Cl} \) show similar chemical properties.
(ii) Rate of \( S_N^1 \) \( C_6H_5CH_2–Cl<C_6H_5–CH–C_6H_5 \)
(iii) Alcohol is more polar than water, so alcoholic KOH shows elimination reaction.
(iv) Vinyl alcohol is an alkene, whereas allyl alcohol is an alkyne.
(v) Alcohol with SOC\(_2\) gives alkyl halide, but phenol does not give.

Identify A and E

Statement I:

The carbocation in the structure \( \text{O}_2\text{N}\text{C} \text{H} \) is stabilized by the +R effect of the \( \text{-OCH}_3 \) group.
Statement II:

The carbocation in the structure \( \text{O}_2\text{N}\text{C} \text{H} \) is stabilized by the +R effect of the \( \text{-NO}_2 \) group.