Basic Mathematical And Analytical Chemistry

A gas ‘X’ is passed through water to form a saturated solution. The aqueous solution on treatment with silver nitrate gives a white precipitate. The saturated aqueous solution also dissolves magnesium ribbon with evolution of a colorless gas ‘y’. Identify ‘X’ and ‘Y’:

Brown ring test for nitrates depends upon:

Find the eigen value of the following 3 × 3 matrix given that 2 is one of the eigen values. Compute the determinant of the matrix using the eigen values:

For square matrices M and N, if NM = M and NM = N, then:

Value of the given determinant is:

Which one of the following is an identity matrix?

The value of integral 

A reagent used to test presence of Fe⁺² ion is:

An aqueous solution of substance gives a white precipitate on treatment with dil. HCl which dissolves on heating. When H₂S is passed through the hot acidic solution a black ppt. is obtained.The substance is:

Bi(dmg)₂ complex has following color?

When H₂S gas is passed through the HCl containing aqueous solution of CuCl₂, HgCl₂, BiCl₃ and CoCl₂, which does not precipitate out:

A mixture when heated with conc H₂SO₄ with MnO₂ brown fumes are formed due to:

X and Y transformed co-ordinates obtained from p and q as follows:

The correct set of linear equations that represent X and Y are:

Two matrices are given as X  If X^T is the transpose of X, then, calculate X^TY?

The scalar product of two vectors u and v, where u 

The function y = x exp (-x² ) has a minimum at x =- 1/√2. The second derivation of the function at the minimum is:

 is a differential equation for a/an:

With K₄[Fe(CN)₆], Cu  ion gives:

Nesseler’sraegant i s:

What product is formed by mixing the solution of K₄[Fe(CN)₆] with the solution of FeCl₃ :

Which is the correct structure of Alizarin adsorption indicator:
 

Mn⁺² ions in presence of S^2– gives a precipitate of following color?

A vector  is rotated through an angle and is also doubled in magnitude resulting in  An acceptable value of x is:

  where h, π, m and α are constant. C is:

The maximum of a function Ae^-ax2 (A < 0, a> 0) is at x = ?

The matrix which transforms

Which of the following is not a solution of the equation:

Which radical(s) are precipitated in (NH₄)₂CO₃ in presence of alkali?

The correct stamen(s) in regard of chromyl chloride test is/are:

Choose correct statement(s)

Which of the following combines with Fe⁺² ions to form a brown complex?

Select correctstatemet(s):

Choose correct statement(s)

Choose correct alternative(s)

Choose correct alternative(s)

Choose correct statement(s)

Choose correct statement(s)

In acidic medium, dichromate oxidizes ferrous ions to ferric ion. If molecular weight of potassium dichromate is 294, its equivalent weight would be?

How many mole of KMnO₄ are required to completely oxidize 1 mole of ferrous oxalate in acidic medium? (rounded up to first decimal place)

What is the concentration of nitrate ions if equal volumes of 0.1 M AgNO₃ and 0.1 M NaCl are mixed together? (rounded up to second decimal places)

In reaction of I₂ + 2S₂O₃^– → 2I^– + S₄O₆^–, equivalent weight of Iodine is M/x. What is ‘x’?

Number of indicators among (phenophthalein, methyl orange, blue litmus, red litmus) which can be used in titration of strong acid and strong base?

If are unit co-planer vectors, then, find the scalar triple product of

If the distance of point P(1, –2, 1) form plane x + 2y – 2z = α (α > 0) is 5 units, find α?

If A speaks truth in 60% of the cases while B speaks truth in 75% of the case. Then, find the probability that they contradict in stating the same fact (rounded up to two decimal places).

Assuming that each born child is equally likely to be born to be a boy or girl. A family has two children. Find the probability that both children are girls that at least one girl is in the family (rounded up to two decimal places in the family).

Let  are any three unit vectors such that 

When hydrogen sulfide is passed in acidified solution, following radicals are precipitated as sulfides which are then treated with yellow ammonium sulfide. Number of species that dissolve(s):
As₂S₃, Sb₂S₃, SnS₂, Sb₂S₅, As₂S₅, HgS, CuS, CdS

Number of correct statement(s) among following:
(I) CO₂ is colorless gas and gives white precipitate with lime water
(II) CO is colorless and burns blue in presence of oxygen
(III) H₂S has rotten eggs smell
(IV) NH₃ gives white fumes with HCl
(V) CH₃COOH has vinegar like smell

Number of basic radicals among following:

Pb⁺², Hg⁺, Cl^–, SO₃^2–, S₂O₃^2–, S^2–, Zn⁺2, Mn⁺², CO₃^2–, K⁺, Na⁺.

Ferricyanide ion is used to make Turnbull’s blue. Number of pi-bonds in its structure is?

Number of 5-membered rings in Nickel-dmg complex is?

For unnormalized wave function,    the number of
radial node(s) is ________:

For a particle with position  and momentum  in m and kgm²s^–1, respectively, calculate the magnitude of the angular momentum L = r × p.

A coin is tossed three times. Find the probability distribution and calculate mean (rounded up to first decimal place).

Find the absolute maximum value of the function f(x) = x³ – 3x² + 1 for –1/2 < x < 4.

Find the value of x:
x ^log₄3 + 2.3^log₄x = 27