MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

At anode in the electrolysis of fused NaCl:

Calculate the quantity of electricity required to produce 0.42 g Ag at cathode during the electrolysis of AgNO₃ solution. (Molar mass Ag = 108 g mol^-1)

Calculate half-life of a first order reaction in minute if the rate constant is 1 × 10^-3 s^-1.

What is the number of unpaired electrons of nickel observed in \[\ce{[Ni(CN)4]^{2-}}\]?

Which of the following carboxylic acids is most reactive towards esterification?

Two moles of an ideal gas are allowed to expand from a volume of 10 dm³ to 2 m³ at 300 K against a pressure of 101.325 KPa. Calculate the work done.

Calculate the density of metal with molar mass 56 g mol^{- 1} that crystallises to form a bcc structure with edge length 288 pm.

A weak monobasic acid is 2% dissociated in its 0.01 M solution. What is the dissociation constant of a weak acid?

Identify unit cell from following having four particles in it

Both acetaldehyde and acetone will react with X reagent. Identify the reagent X.

Half-life of a first order reaction is 30 minutes and initial concentration of reactant is 0.1 M.

What is half-life of the reaction if initial concentration of reactant is doubled? 

Which is the relation between half life and rate constant for a zero order?

The final product in the following sequence of reaction is

Consider the following reaction.

\[\ce{SO2(g) + 1/2 O2(g) <=>[K1] SO3(g)}\]

\[\ce{2SO3(g)<=>[K2] 2SO2(g) + O2(g)}\]

What is the relation between K₁ and K₂?

A radioactive isotope decayed to 17/32 of its original mass after 60 minutes. Find the half-life of this radioisotope.

An element with molar mass 2.7 × 10^-2 kg/mol. Forms a cubic units cell with edge length of 405 pm. If the density is 2.7 × 10³ kg/m³. Find the nature of a cubic unit cell.

What is the density of potassium, if it has a bcc structure with edge length 4Å?
(Atomic mass of K = 39)

What is the rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minutes?

At room temperature, polonium Crystallises in a primitive cubic unit cell. If a = 3.36 Å. Calculate the theoretical density of polonium. [It's atomic weight is 209 g/mol.]

The IUPAC name of the coordination compound \[\ce{[Co(H2O)2 (NH3)4]Cl3}\] is ______.