The mass of sodium acetate \(\left(\mathrm{CH}_3 \mathrm{COONa}\right)\) required to prepare \(250 \mathrm{~mL}\) of \(0.35\  \mathrm{M}\) aqueous solution is _______\(g\). (Molar mass of \(\mathrm{CH}_3 \mathrm{COONa}\) is \(82.02 \mathrm{~g} \mathrm{~mol}^{-1}\) )

Combustion of \(1\) mole of benzene is expressed at \(\mathrm{C}_6 \mathrm{H}_6(1)+\frac{15}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(1) \text {. }\) The standard enthalpy of combustion of \(2 \mathrm{~mol}\) of benzene is - ' \(x\) ' \(k J\). \(\mathrm{x}=\) _______ \((1)\) standard Enthalpy of formation of \(1 \mathrm{~mol}\) of \(\mathrm{C}_6 \mathrm{H}_6(1)\), for the reaction \(6 \mathrm{C}\) (graphite) \(+3 \mathrm{H}_2(\mathrm{~g}) \rightarrow \mathrm{C}_6 \mathrm{H}_n(1)\) is \(48.5 \mathrm{~kJ} \mathrm{~mol}^{-1}\). \((2)\) Standard Enthalpy of formation of \(1 \mathrm{~mol}\) of \(\mathrm{CO}_2(\mathrm{~g})\), for the reaction \(\mathrm{C}\) (graphite) \(+\mathrm{O}_{2(\mathrm{~g})} \rightarrow \mathrm{CO}_2(\mathrm{~g})\) is \(-393.5 \mathrm{~kJ} \mathrm{~mol}^{-1}\). \((3)\) Standard and Enthalpy of formation of \(1 \mathrm{~mol}\) of \(\mathrm{H}_2 \mathrm{O}(1)\), for the reaction \(\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(1)\) is \(-286 \mathrm{~kJ} \mathrm{~mol}^{-1}\).

Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following :

At \(320\,K,\) a gas \(A_2\) is \(20\%\)  dissociated to \(A(g).\) The standard free energy change at  \(320\,K\)  and \(1\,atm\)   in \(J\,mo1^{-1}\)  is approximately \((R= 8.314\,\,JK^{-1}\,\,mol^{-1};\,\,ln\,2 = 0.693;\,\,ln\,3 = 1.098)\)

The correct order of their reactivity towards hydrolysis at room temperature is :

If a compound \(Ab\) dissociates to the extent of \(75 \,\%\) in an aqueous solution, the molality of the solution which shows a \(2.5\, K\) rise in the boiling point of the solution is ......  molal. (Rounded-off to the nearest integer) \(\left[ K _{ b }=0.52 \,K \,kg\, mol ^{-1}\right]\)

\(1.4\,kg\) of an organic compound was digested according to Kjeldahl 's method and the ammonia evolved was absorbed in \(60\,mL\) of \(M/10\,\,H_2SO_4\) solution. The excess sulphuric acid required \(20\,mL\) of \(M/10\,\,NaOH\) solution for neutralization. The percentage of nitrogen in the compound is

Given below are two statements :
Statement I : There are several conformers for n - butane. Out of those conformers,

is the least stable and most stable conformer is

Statement II : As the dihedral angle increases, torsional strain decreases from (X) to (Y).
In the light of the above statements, choose the correct answer from the options given below :

If \(\frac{1}{(20-a)(40-a)}+\frac{1}{(40-a)(60-a)}+\ldots \ldots+\) \(\frac{1}{(180-a)(200-a)}=\frac{1}{256}\), then the maximum value of \(a\) is.

Consider a water tank as shown in the figure. It's cross-sectional area is \(0.4\, m ^{2}\). The tank has an opening \(B\) near the bottom whose cross-section area is \(1\, cm ^{2}\). A load of \(24\, kg\) is applied on the water at the top when the height of the water level is \(40\, cm\) above the bottom, the velocity of water coming out the opening \(B\) is \(v\, ms ^{-1}\). The value of \(v\), to the nearest integer, is ......\(m/s\). [Take value of \(g\) to be \(10 \,ms ^{-2}\) ]

A sample of gas at temperature \(\mathrm{T}\) is adiabatically expanded to double its volume. Adiabatic constant for the gas is \(\gamma=3 / 2\). The work done by the gas in the process is _______. \((\mu=1 \mathrm{~mole})\)

The total number of stereoisomers for the complex \(\left[ Cr ( ox )_2 ClBr ^{3-}\right.\) (where ox = oxalate) is:

Let \(\alpha > 0\), be the smallest number such that the expansion of \(\left(x^{\frac{2}{3}}+\frac{2}{x^3}\right)^{30}\) has a term \(\beta x^{-\alpha}, \beta \in N\). Then \(\alpha\) is equal to \(.............\).