What is the temperature of 4 moles of a gas occupying \(5 \mathrm{~L}\) volume at 3.32 bar? \(\left(R=0.083\right.\) bar \(\mathrm{L} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\) )

Identify the incorrect statement

At \(T(K)\) and pressure \(P\), the diffusion rate of an ideal gas is \(120 \mathrm{~mL} \mathrm{~min}^{-1}\). What is the time taken (in sec.) for \(3000 \mathrm{~mL}\) of this gas for diffusion at same temperature and pressure?

Heating chloroform with aqueous sodium hydroxide solution forms

Isochores are drawn at

Which one of the following statements is correct for adsorption of solutes on solids in solutions?

Which of the following is the common monomer for the polymers Bakelite and Melamine ?

In Gattermann reaction, a diazonium group is replaced by \(\underline{X}\) using \(\underline{Y}\). \(\underline{X}\) and \(\underline{Y}\) are
\(\underline{X} \quad \underline{Y}\)

\(\lim _{x \rightarrow 0} \frac{x+2 \sin x+3 \tan x-\tan ^3 x}{\sqrt{x^2+2 \sin x+\tan x+3}-\sqrt{\sin ^2 x-2 \tan x-x+3}}=\)

Match the following
List - I
A) The equation of line passing through \((4,3)\) whose \(\mathrm{X}\)-intercept is twice its Y-intercept
B) The equation of the line passing through the centroid and circumcentre of \(\triangle A B C\) with vertices \(\mathrm{A}(1,1), \mathrm{B}(3,3), \mathrm{C}(6,-6)\)
C) The equation of the line whose \(\mathrm{X}\)-intercept is \((-3 / 5)\)
III) \(x+2 y+\sqrt{2}=0\) and is perpendicular to \(x-y+2=0\)
D) The equation of the line whose distance from the origin is 2 and the normal drawn from the origin makes an angle \(45^{\circ}\) with the positive direction of \(\mathrm{X}\)-axis
List - II
I) \(x+y-2 \sqrt{2}=0\)
II) \(7 x+23 y-8=0\)
IV) \(x+2 y-10=0\)
IV) \(x+2 y-10=0\)
V) \(5 x+5 y+3=0\)
The correct answer is

Blister copper is extracted from copper pyrites. After removal of slag \(\mathrm{FeSiO}_3\), blister copper is obtained by

If \(y=\frac{a x+b}{c x+d}\) and \(\frac{d x}{d y}=\frac{a d-b c}{P y^2+Q y+R}\) then \(P+Q+R=\)

\(\int \frac{x-1}{(x-2)(x-3)} d x\) is equal to