The size of the iso-electronic species \(Cl^-\) , \(Ar\) and \(Ca^{2+}\) is affected by

The standard reaction Gibbs energy for a chemical reaction at an absolute temperature \(T\) is given by \({\Delta _r}{G^o} = A - BT\) Where \(A\) and \(B\) are non -zero constant. Which of the following is \(TRUE\) about this reaction?

CORRECT order of stability for the following is
\( CH_{2}=CH^{-}, CH_{3}-CH_{2}^{-}, CH\equiv C^{-} \)

Consider the cell at \(25^{\circ} \mathrm{C}\) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}(\mathrm{aq}),(1 \mathrm{M}) \| \mathrm{Fe}^{3+}(\mathrm{aq}), \mathrm{Fe}^{2+}(\mathrm{aq})\right| \mathrm{Pt}(\mathrm{s})\) The fraction of total iron present as \(\mathrm{Fe}^{3+}\) ion at the cell potential of \(1.500\, \mathrm{~V}\) is \(\mathrm{X} \times 10^{-2}\). The value of \(x\) is \(.....\) (Nearest integer). \(\left(\right.\) Given \(\left.E_{\mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}}^{0}=0.77\, \mathrm{~V}, \mathrm{E}_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{0}=-0.76 \,\mathrm{~V}\right)\)

Compound \(A\) gives \(D-\)Galactose and \(D-\)Glucose on hydrolysis. The compound \(A\) is:

Which of the following is \('a'\) \(FALSE\) statement ?

Consider the following half cell reaction
\(\mathrm{Cr}_2 \mathrm{O}_7^{2-}(\mathrm{aq})+6 \mathrm{e}^{-}+14 \mathrm{H}^{+}(\mathrm{aq})\) \(\rightarrow 2 \mathrm{Cr}^{3+}(\mathrm{aq})+7 \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)
The reaction was conducted with the ratio of \(\frac{\left[\mathrm{Cr}^{3+}\right]^2}{\left[\mathrm{Cr}_2 \mathrm{O}_7^{2-}\right]}=10^{-6}\). The pH value at which the EMF of the half cell will become zero is ________. (nearest integer value)
[Given : standard half cell reduction potential
\(\left.\mathrm{E}_{\mathrm{Cr}_2 \mathrm{O}_7^{2-}, \mathrm{H}^{+} / \mathrm{Cr}^{3+}}^{\mathrm{o}}=1.33 \mathrm{~V}, \frac{2.303 \mathrm{RT}}{\mathrm{~F}}=0.059 \mathrm{~V}\right]\)

Let \(S=\left\{x \in[-6,3]-\{-2,2\}: \frac{|x+3|-1}{|x|-2} \geq 0\right\}\) and \(T =\left\{ x \in Z: x ^{2}-7| x |+9 \leq 0\right\}\). Then the number of elements in \(S \cap T\) is \(....\)

A sample of \(\mathrm{CaCO}_3\) and \(\mathrm{MgCO}_3\) weighed \(2.21 \mathrm{~g}\) is ignited to constant weight of \(1.152 \mathrm{~g}\). The composition of mixture is _______. (Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1}{CaCO}_3: 100, \mathrm{MgCO}_3: 84)\)

In an experiment a convex lens of focal length \(15\, cm\) is placed coaxially on an optical bench in front of a convex mirror at a distance of \(5\,cm\) from it. It is found that an object and its image coincide, if the object is placed at a distance of \(20\,cm\) from the lens. The focal length of the convex mirror is.......\(cm\)

For the reaction: \(RCH _2 Br + I ^{-} \stackrel{\text { Acetone }}{\longrightarrow} \underset{\text { major }}{ RCH _2 I + Br ^{-}}\) The correct statement is :

The relation \(R =\{( a , b ): \operatorname{gcd}( a , b )=1,2 a \neq b , a , b \in Z \}\) is:

A long straight wire of radius ' \(a\) ' carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at \(\frac{a}{2}\) and \(2\)a from axis of the wire is _______.