Alcohols with molecular formula ${\mathrm{C}}_{\mathrm{n}}{\mathrm{H}}_{2\mathrm{n}+2}\mathrm{O}$ are isomeric with

Methemoglobinemia is caused by the presence of \(\mathrm{X}\) in drinking water. \(\mathrm{X}\) is

Identify the product of the following reaction.

Which of the following expression is correct

The molar heats of fusion and vapourisation of benzene are 10.9 and \(31.0 \mathrm{~kJ} \mathrm{~mol}^{-1}\) respectively. The changes in entropy for the solid \(\rightarrow\) liquid and liquid \(\rightarrow\) vapour transitions for benzene are \(x\) and \(y . \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\), respectively. The value of \((y-x)\left(\right.\) in \(\left.\mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\) is (At 1 atm, benzene melts at \(5.5^{\circ} \mathrm{C}\) and boils at \(80^{\circ} \mathrm{C}\) )

When equal volumes of helium and neon at same temperature and pressure are mixed, the ratio \(C_p: C_V\) of the mixture equals

The energy and radius of electron present in second orbit of \(\mathrm{He}^{+}\)respectively are

A spherical ball of radius \(1 \times 10^{-4} \mathrm{~m}\) and of density 104 \(\mathrm{kg} \mathrm{m}^{-3}\) falls freely under gravity through a distance ' \(h\) ' before entering a tank of water. After' entering water if the velocity of the ball does not change, then ' \(h\) ' is

Let \(|\vec{a}|=2,|\vec{b}|=3\) and the angle between \(\vec{a}\) and \(\vec{b}\) be \(\frac{\pi}{3}\). If a parallelogram is constructed with adjacent sides \(2 \vec{a}+3 \vec{b}\) and \(\vec{a}-\vec{b}\), then its shorter diagonal is of length

Match the following
\(\begin{array}{ll}
\text{List - I} & \text{List - II} \\
\text{A) } \mathrm{Al}_2 \mathrm{O}_3+2 \mathrm{NaOH}+3 \mathrm{H}_2 \mathrm{O} \rightarrow 2 \mathrm{Na}\left[\mathrm{Al}(\mathrm{OH})_4\right] & \text{I) Roasting} \\
\text{B) } \mathrm{Ni}(\mathrm{CO})_4 \xrightarrow{230^{\circ} \mathrm{C}} \mathrm{Ni}+4 \mathrm{CO} & \text{II) Calcination} \\
\text{C) } \mathrm{Fe}_2 \mathrm{O}_3 \cdot 3 \mathrm{H}_2 \mathrm{O} \xrightarrow{\Delta} \mathrm{Fe}_2 \mathrm{O}_3+3 \mathrm{H}_2 \mathrm{O} & \text{II) Vapour phase refining} \\
\text{D) } 2 \mathrm{PbS}+3 \mathrm{O}_2 \rightarrow 2 \mathrm{PbO}+2 \mathrm{SO}_2 & \text{IV) Electrolysis} \\
& \text{V) Leaching}
\end{array}\)
The correct answer is

If the equation of the plane passing through the point \((3,2,5)\) and perpendicular to the planes \(2 x-3 y+5 z=7\) and \(5 x+2 y-3 z=11\) is \(x+b y+c z+d=0\), then \(2 b+3 c+d=\)

A solution is prepared by dissolving \(10 \mathrm{~g}\) of a non-volatile solute (molar mass, ' \(M^{\prime} \mathrm{g} \mathrm{mol}^{-1}\) ) in \(360 \mathrm{~g}\) of water. What is the molar mass in \(\mathrm{g} \mathrm{mol}^{-1}\) of solute if the relative lowering of vapour pressure of solution is \(5 \times 10^{-3}\) ?

The radical centre of the circles \(x^2+y^2+2 x+3 y+1=0\), \(x^2+y^2+x-y+3=0, x^2+y^2-3 x+2 y+5=0\) is