$50 \mathrm{mL}$ of $0.02\mathrm{MNaOH}$ solution is mixed with $50 \mathrm{mL}$ of $0.06\mathrm{M}$ acetic acid solution, the $\mathrm{pH}$ of the resulting solution is_________
$(\mathrm{pKa}$ of acetic acid is $4.76, \log 5=0.70)$. 

The \(\mathrm{p} K_a\) values of four carboxylic acids are \(4.76,4.19,0.23\) and 3.41 respectively. The \(\mathrm{p} K_a\) value of strongest carboxylic acid among them is

The given unit cell belongs to the type

If the rate constant for a first order reaction is \(k\), then find the time required for completion of \(80 \%\) of the reaction.

Atomic number of \(\mathrm{Cr}, \mathrm{Fe}\) and \(\mathrm{Co}\) are 24, 26 and 27 respectively. Which of the following inner orbital octahedral complexes are paramagnetic?

If $0.2$ moles of sulphuric acid is poured in to $250\mathrm{ml}$ of water, calculate the concentration of the solution?

Calculate \(\Delta_r \mathrm{H}\left(\mathrm{kJ} \mathrm{mol}^{-1}\right)\) of the following reaction
\(\begin{array}{cc}\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}(\mathrm{I})+7 / 2 \mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{CO}_2(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{I}) \\ \text { Molecule } & \Delta_{\mathrm{f}} \mathrm{H}^0\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right) \\ \mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}(\mathrm{I}) & -280 \\ \mathrm{CO}_2(\mathrm{~g}) & -400 \\ \mathrm{H}_2 \mathrm{O}(\mathrm{l}) & -290\end{array}\)

Which one of the following reactions does not occur?

If the straight line \(y=m x+c\) is parallel to the axis of the parabola \(y^2=l x\) and intersects the parabola at \(\left(\frac{c^2}{8}, c\right)\), then the length of the latusrectum is

Both ethanal and propanone will react with which of the following?

When the coordinate axes are rotated about the origin in the positive direction through an angle \(\frac{\pi}{4}\), if the equation \(25 x^2+9 y^2=225\) is transformed to \(\alpha x^2+\beta x y+\gamma y^2=\delta\), then \((\alpha+\beta+\gamma-\sqrt{\delta})^2=\)

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) \(3 \mathrm{Mg}_{(\mathrm{s})}+\mathrm{N}_{2(\mathrm{~g})} \rightarrow \mathrm{Mg}_3 \mathrm{~N}_{2(\mathrm{~s})}\)

Each of the two boxes \(A\) and \(B\) contain 10 chits numbered 1 to 10 . If one chit is drawn at random from each of \(A\) and \(B\), then the probability that the number on the chit drawn from \(A\) is smaller than the number on the chit drawn from \(B\), is