The coordination environment of \(\mathrm{Ca}^{2+}\) ion in its complex with \(EDTA\) \(^{4-}\) is _______.

Chlorophyll extracted from the crushed green leaves was dissolved in water to make \(2\,L\) solution of \(Mg\) of concentration \(48\,ppm\). The number of atoms of \(Mg\) in this solution is \(x \times 10^{20}\) atoms. The value of \(x\) is (Nearest Integer) (Given : Atomic mass of \(Mg\) is \(24\,g\,mol ^{-1}\), \(N _{ A }=6.02 \times 10^{23}\,mol ^{-1}\) )

Given below are two statements :
1 M aqueous solution of each of \(\mathrm{Cu}\left(\mathrm{NO}_3\right)_2, \mathrm{AgNO}_3\), \(\mathrm{Hg}_2\left(\mathrm{NO}_3\right)_2 ; \mathrm{Mg}\left(\mathrm{NO}_3\right)_2\) are electrolysed using inert electrodes,
\(\begin{aligned} & \text { Given : } \mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^\theta=0.80 \mathrm{~V}, \mathrm{E}_{\mathrm{Hg}_2^{2+} / \mathrm{Hg}}^\theta=0.79 \mathrm{~V}, \\ & \mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^\theta=0.24 \mathrm{~V} \text { and } \mathrm{E}_{\mathrm{Mg}^{2+} / \mathrm{Mg}}^\theta=-2.37 \mathrm{~V}\end{aligned}\)
Statement (I) : With increasing voltage, the sequence of deposition of metals on the cathode will be \(\mathrm{Ag}, \mathrm{Hg}\) and Cu
Statement (II) : Magnesium will not be deposited at cathode instead oxygen gas will be evolved at the cathode.
In the light of the above statement, choose the most appropriate answer from the options given below

Match List-I with List-II

List - I (Complex)		List - II (Primary valency and Secondary valency)
(A)	[Co(en)2Cl2]Cl	(I)	3	6
(B)	[Pt(NH3)2Cl(NO2)]	(II)	3	4
(C)	Hg[Co(SCN)4]	(III)	2	6
(D)	[Mg(EDTA)]2-	(IV)	2	4

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Zinc reacts with hydrochloric acid to give hydrogen and zinc chloride. The volume of hydrogen gas produced at \(STP\) from the reaction of \(11.5\,g\) of zinc with excess \(HCl\) is \(..........L\) (Nearest integer) (Given : Molar mass of \(Zn\) is \(65.4\,g\,mol ^{-1}\) and Molar volume of \(H _2\) at \(STP =22.7\,L\) )

In the given pentapeptide, find out an essential amino acid (Y) and the sequence present in the pentapeptide:

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An acidic solution of dichromate is electrolyzed for \(8\) minutes using \(2\) \(A\) current. As per the following equation \(Cr _{2} O _{7}^{2-}+14 H ^{+}+6 e ^{-} \rightarrow 2 Cr ^{3+}+7 H _{2} O\) The amount of \(Cr ^{3+}\) obtained was \(0.104\, g\). The efficiency of the process(in\%) is (Take : \(F =96000\, C\), At. mass of chromium \(=52\) )

Let \(v\) be the solution of the differential equation \(\left(1-x^{2}\right) d y=\left(xy+\left(x^{3}+2\right) \sqrt{1-x^{2}}\right) d x,-1 < x < 1\) and \(y(0)=0\) if \(\int\limits_{-\frac{1}{2}}^{\frac{1}{2}} \sqrt{1-x^{2}} y(x) d x=k\) then \(k^{-1}\) is equal to:

\({\Delta _f}{G^o}\) at \(500\, K\) for substance \('S'\) in liquid state and gaseous state are \(+100.7\, kcal\, mol^{-1}\) and \(+103\, kcal\, mol^{-1}\) , respectively. Vapour pressure ofliquid \('S'\) at \(500\, K\) is approximately equal to \((R\,= 2\,cal \,K^{-1}\,mol^{-1})\) .....\(atm\)

The equations of the sides \(A B, B C \& C A\) of a triangle \(A B C\) are \(2 x+y=0, x+p y=21 a(a \neq 0)\) and \(x-y=3\) respectively. Let \(P(2, a)\) be the centroid of the triangle \(A B C\), then \((B C)^2\) is equal to

Let \(y=y(x)\) be the solution of the differential equation \(x d y=\left(y+x^{3} \cos x\right) d x\) with \(y(\pi)=0\) then \(y\left(\frac{\pi}{2}\right)\) is equal to :

The compounds that produce \(CO _2\) with aqueous \(NaHCO _3\) solution are _______.
\(\qquad\)\(\qquad\)

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Identify the incorrect statements regarding primary standard of titrimetric analysis.
(A) It should be purely available in dry form.
(B) It should not undergo chemical change in air.
(C) It should be hygroscopic and should react with another chemical instantaneously and stoichiometrically.
(D) It should be readily soluble in water.
(E) \(KMnO _4 \& NaOH\) can be used as primary standard.
Choose the correct answer from the options given below :