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

Some \(\mathrm{CO}_2\) gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of \(\mathrm{CO}_2\) gas was later passed through an aqueous solution of \(\mathrm{Ca}(\mathrm{OH})_2\). The excess unreacted \(\mathrm{Ca}(\mathrm{OH})_2\) was later neutralized with 0.1 M of 40 mL HCl . If the volume of the sealed container of \(\mathrm{CO}_2\) was \(x\), then \(x\) is ________ \(\mathrm{cm}^3\) (nearest integer).
[Given : The entire amount of \(\mathrm{CO}_2(\mathrm{~g})\) reacted with exactly half the initial amount of \(\mathrm{Ca}(\mathrm{OH})_2\) present in the aqueous solution.]

Given below are two statements :
Statement \((I)\) : \(p-\)nitrophenol is more acidic than \(m-\)nitrophenol and \(o-\)nitrophenol.
Statement \((II)\) : Ethanol will give immediate turbidity with Lucas reagent.
In the light of the above statements, choose the correct answer from the options given below :

Which of the following is least ionic?

Match List - I with List - II.

List - I Chromium (III) Complexes (en = ethylene diamine)	List - II \(\Delta_0\) (cm\(^{-1}\))
A. \([Cr(CN)_6]^{3-}\)	I. \(15,060\)
B. \([CrF_6]^{3-}\)	II. \(17,400\)
C. \([Cr(H_2O)_6]^{3+}\)	III. \(22,300\)
D. \([Cr(en)_3]^{3+}\)	IV. \(26,600\)

Choose the correct answer from the options given below :

For the estimation of nitrogen, \(1.4\, g\) of an organic compound was digested by Kjeldahl method and the evolved ammonia was absorbed in \(60\, mL\) of \(\frac{M}{10}\) sulphuric acid. The unreacted acid required \(20\, mL\) of \(\frac{M}{10}\) sodium hydroxide for complete neutralization. The percentage of nitrogen in the compound is .....\(\%\)

The number of neutrons present in the more abundant isotope of boron is ' \(\mathrm{x}\) '. Amorphous boron upon heating with air forms a product, in which the oxidation state of boron is ' \(y\) '. The value of \(x+y\) is _______.

The given circuit works as :

The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors \(\overrightarrow{ a }, \overrightarrow{ b }\) and \(\overrightarrow{ c }\) respectively. Then choose the correct relation for these vectors.

The IUPAC name of the following compound is :

\(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A} \xrightarrow{{4\,KO{H_1}{O_2}}}\mathop {2\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{B} }\limits_{(Green)}  + 2{H_2}O\) \(3\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{B} \xrightarrow{{4\,HCl}}\mathop {2C}\limits_{(Purple)}  + Mn{O_2} + 2{H_2}O\) \(3\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{C} \xrightarrow{{{H_2}O,KI}}2\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A}  + 2KOH + \underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{D} \) In the above sequence of reactions, \(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A}\) and \(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{D} \) ,  respectively are

Given below are two statements: Statement\(-I\) \(: \alpha\) and \(\beta\) forms of sulphur can change reversibly between themselves with slow heating or slow cooling. Statement\(-II :\) At room temperature the stable crystalline form of sulphur is monoclinic sulphur. In the light of the above statements, choose the correct answer from the options given below:

In the given circuit, the terminal potential difference of the cell is _______.