The molecular formula of potash alum is

The following methods can not be used to remove permanent hardness of water

In Dumas method one gram of carbon compound gives \(50 \mathrm{~mL}\) of \(\mathrm{N}_2\) at \(300 \mathrm{~K}\) and \(740 \mathrm{~mm} \mathrm{Hg}\) pressure. If the aqueous tension at \(300 \mathrm{~K}\) is \(15 \mathrm{~mm} \mathrm{Hg}\), what is the percentage of nitrogen in it?

When the temperature of $2$ moles of an ideal gas is increased by $20°\mathrm{C}$ at constant pressure, find the work involved in the process.

The number of metalloids in the following elements are \(\mathrm{Si}, \mathrm{Mn}, \mathrm{B}, \mathrm{F}, \mathrm{Cu}, \mathrm{Ag}, \mathrm{K}, \mathrm{Sb}, \mathrm{As}, \mathrm{Na}, \mathrm{Ge}\)

For strong acid and strong base neutralisation net chemical change is
\(\begin{aligned} \mathrm{H}^{+}+\mathrm{OH}^{-} \longrightarrow & \mathrm{H}_2 \mathrm{O}(l) ; \\ \Delta_r H^{\circ} & =-55.84 \mathrm{kJmol}^{-1} .\end{aligned}\)
If enthalpy of neutralisation of \(\mathrm{CH}_3 \mathrm{COOH}\) by \(\mathrm{NaOH}\) is \(49.86 \mathrm{~kJ} \mathrm{~mol}^{-1}\), then enthalpy of ionisation of \(\mathrm{CH}_3 \mathrm{COOH}\) is

Which of the following are disproportionation reactions?
\((\mathrm{g}=\sigma, l=(ద, \mathrm{aq}=\text { జe, } \mathrm{s}=\text { ఘ) }\)
(A) \(2 \mathrm{NO}_{2(\mathrm{~g})}+2 \mathrm{NaOH}_{(\mathrm{aq})} \rightarrow \mathrm{NaNO}_{2(\mathrm{aq})}+\mathrm{NaNO}_{3(\mathrm{aq})}+\mathrm{H}_2 \mathrm{O}_{(l)}\)
(B) \(\mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{NaOH}_{(\mathrm{aq})} \rightarrow \mathrm{NaClO}_{(\mathrm{aq})}+\mathrm{NaCl}_{(\mathrm{aq})}+\mathrm{H}_2 \mathrm{O}_{(\mathrm{l})}\)
(C) \(3 \mathrm{ClO}^{-} \rightarrow 2 \mathrm{Cl}^{-}+\mathrm{ClO}_3^{-}\)
(D) \(3 \mathrm{Mg}_{(\mathrm{s})}+\mathrm{N}_{2(\mathrm{~g})} \rightarrow \mathrm{Mg}_3 \mathrm{~N}_{2(\mathrm{~s})}\)

A particle is executing simple harmonic motion starting from its mean position. If the time period of the particle is 1.5 s, then the minimum time at which the ratio of the kinetic and total energies of the particle becomes \(3: 4\) is

The normal drawn at \(P(-1,2)\) on the circle \(x^2+y^2-2 x-2 y-3=0\) meets the circle at another point \(Q\). Then, the coordinates of \(Q\) are

\(\sum_{k=1}^{\infty} \sum_{r=0}^k \frac{1}{3^k}\left({ }^k C_r\right)\) is equal to

The amplitude of electric field in an electromagnetic wave is \(60 \mathrm{Vm}^{-1}\). Then the amplitude of magnetic field is

A steel ball of radius \(0.05 \mathrm{~cm}\) and density \(7.8 \mathrm{~g} \mathrm{~cm}^{-3}\) is dropped into a tank of water. The terminal velocity of the steel ball is
(Density of water \(=1 \mathrm{~g} \mathrm{~cm}^{-3}\) and viscosity of water \(=\) \(0.001 \mathrm{~Pa} \mathrm{~s}\) )

If the lines \(x+2 a y+a=0, x+3 b y+b=0, x+4 c y+c=0\) are concurrent, then \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) are in