Lemon and orange juices contain ......... and acids respectively.

The solubility products of three sparingly soluble salts \(A B, A_2 B\) and \(A B_3\) are respectively \(4.0 \times 10^{-20}, 3.2 \times 10^{-11}\) and \(2.7 \times 10^{-31}\).
The increasing order of their solubility is

Helium mixed with oxygen is used in the treatment of

The standard reduction potentials of \(\mathrm{Zn}^{2+}\left|\mathrm{Zn}, \mathrm{Cu}^{2+}\right| \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Ag}\) are respectively \(-0.76,0.34\) and \(0.8 \mathrm{~V}\). The following cells were constructed :
(1) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Cu}^{2+}\right| \mathrm{Cu}\)
(2) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Ag}^{+}\right| \mathrm{Ag}\)
(3) \(\mathrm{Cu}\left|\mathrm{Cu}^{2+} \| \mathrm{Ag}^{+}\right| \mathrm{Ag}\)
What is the correct order of \(E_{\text {cell }}^{\circ}\) of these cells?

Hydrated sodium aluminium silicate is called

The \(\mathrm{E}^{\circ}\) of \(\mathrm{M} \mid \mathrm{M}^{2+} \| \mathrm{Cu}^{2+} / \mathrm{Cu}\) is 0.3 V , At what concentration of \(\mathrm{Cu}^{2+}\) (in \(\mathrm{mol} \mathrm{L}^{-1}\) ), the \(\mathrm{E}_{\text {cell }}\) value becomes zero?
\(\left(\frac{2.303 R T}{F}=0.06\right)\left(\text { Conc. of } \mathrm{M}^{2+}=0.1 \mathrm{M}\right)\)

In the following reaction, \(X\) and \(Y\) respectively are
\(\begin{aligned} \mathrm{C}_2 \mathrm{H}_5 \mathrm{OH} \longrightarrow \stackrel{\mathrm{KMnO}_4 / \mathrm{H}^{+}}{\longrightarrow} & X \\ \stackrel{\mathrm{H}_2}{ } \frac{Y}{\mathrm{SO}_4 / \Delta} & \mathrm{CH}_3 \mathrm{COOC}_2 \mathrm{H}_5\end{aligned}\)

If \(f(x)=x^5-5 x^4+5 x^3-10\) has its local maxima and minima at \(x=a\) and \(x=b\) respectively, then \(2 a+b\) is equal to

For $n\ge 2,$ if $I_n=\int (\sin x+\cos x{)}^{n}dx$, then $n{\mathrm{I}}_n-2(n-1)I_{n-2}=$

Which condition is not satisfied by an ideal solution?

Which of the following metal ion plays an important role in muscle contraction?

The equation of the line passing through the points \(\left(\mathrm{ct}_1, \frac{\mathrm{c}}{\mathrm{t}_1}\right)\) and \(\left(\mathrm{ct}_2, \frac{\mathrm{c}}{\mathrm{t}_2}\right)\) is

The magnetic flux through a circuit of resistance $R$ changes by an amount $\Delta \varnothing$ in time $\Delta t$, Then the total quantity of electric charge $Q$. which is passing during this time through any point of the circuit is given by_____