List of practice Questions

A bucket of water contain a wooden block floating in water with(4/5)th of its volume sub merged in the water. The bucket is placed on the floor of a lift and the lift now starts moving down with uniform accleration. The block of wood now

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm³) is needed to fill this capsule?

Enthalpies of formation of CO(g), CO₂(g), N₂O(g) and N₂O₄(g) are –110, – 393, 81 and 9.7 kJ mol^-1 respectively. Find the value of ∆_rH for the reaction.
\(N_2O_4(g) + 3CO(g) → N_2O(g) + 3CO_2(g)\)

In Lassaigne’s test for nitrogen in an organic compound, the Prussian blue color is obtained due to the formation of 

Is zero a rational number? Can you write it in the form \(\frac{ p }{ q} \), where p and q are integers and q ≠ 0?

The reaction CH₃CH₂I + KOH(aq) \(\rightarrow\) CH₃CH₂OH + KI is classified as 

Enthalpy of combustion of carbon to CO₂ is –393.5 kJ mol^–1. Calculate the heat released upon formation of 35.2 g of CO₂ from carbon and dioxygen gas.

Find the volume of a sphere whose surface area is 154 cm².

A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m, then find the volume of the iron used to make the tank.

How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold?

The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Calculate the enthalpy change on freezing of \(1.0\ mol\) of water at \(10.0°C\) to ice at \(-10.0°C\). \(∆_{fus}H = 6.03\ kJ mol^{–1}\) at \(0°C\).
\(C_p [H_2O(l)] = 75.3\ J mol^{–1}K^{–1}\)
\(C_p [H_2O(s)] = 36.8 \ J mol^{–1}K^{–1}\)

The best and latest technique for isolation, purification and separation of organic compounds is

The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm³ ?

Draw the resonance structures for the following compounds. Show the electron shift using curved-arrow notation. 
(a) \(C_6H_5OH \)
(b) \(C_6H_5NO_2\) 
(c) \( CH_3CH=CHCHO\) 
(d) \(C_6H_5–CHO \)
(e) \(C_6H_5–C+H_2\)
(f) \(CH_3CH=CH C+H_2\)

Find the amount of water displaced by a solid spherical ball of diameter.
(i) 28 cm 
(ii) 0.21 m

Find the volume of a sphere whose radius is
(i) 7 cm 
(ii) 0.63 m

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.

Explain the terms Inductive and Electromeric effects. Which electron displacement effect explains the following correct orders of acidity of the carboxylic acids? 
\((a) Cl_3CCOOH>Cl_2CHCOOH>ClCH_2COOH \)
\((b) CH_3CH_2COOH>(CH_3)_2CHCOOH>(CH_3)_3C.COOH.\)

For the following bond cleavages, use curved arrows to show the electron flow and classify each as homolysis or heterolysis. Identify reactive intermediate produced as free radical, carbocation and carbanion.

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

What is the relationship between the members of the following pairs of structures? Are they structural or geometrical isomers or resonance contributors?

The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find. 
(i) height of the cone 
(ii) slant height of the cone 
(iii) curved surface area of the cone

Calculate the number of kJ of heat necessary to raise the temperature of 60.0 g of aluminium from 35°C to 55°C. Molar heat capacity of Al is 24 J mol^–1 K^–1.