During the denaturation of proteins, which of these structures will remain intact?

The molarity of a solution obtained by mixing \(750 \,mL\) of \(0.5(M)\,HCl\) with \(250\,mL\) of \(2(M)\,HCl\) will be  .........\(M\)

Consider the following two half-cell reactions along with the standard reduction potential given:
\(CO_2 + 6H^+ + 6e^- \rightarrow CH_3 OH + H_2 O \quad E°_{red} = 0.02\) V
\(\dfrac{1}{2} O_2 + 2H^+ + 2e^- \rightarrow H_2 O \quad E°_{red} = 1.23\) V
A fuel cell was set up using the above two reactions such that the cell operates under the standard condition of \(1\) bar pressure and \(298\) K temperature. The fuel cell works with \(80\%\) efficiency. If the work derived from the cell using \(1\) mol of \(CH_3 OH\) is used to compress an ideal gas isothermally against a constant pressure of \(1\) kPa, then the change in the volume of the gas, \(\Delta V = \) _____ m\(^3\). (nearest integer)
Given: \(F = 96500\) C mol\(^{-1}\)

Match List \(I\) with List \(II\)

\(LIST-I\) \((Substances)\)	\(LIST-II\) \((Element Present)\)
\(A\). Ziegler catalyst	\(I\). Rhodium
\(B\). Blood pigment	\(II\). Cobalt
\(C\) .Wilkinson catalyst	\(III\). Iron
\(D\). Vitamin \(\mathrm{B}_{12}\)	\(IV\). Titanium

Choose the correct answer from the options given below:

The concentration of dissolved oxygen \((DO)\) is cold water can go upto ......... \(ppm\)

x mg of pure HCl was used to make an aqueous solution. 25.0 mL of \(0.1 M Ba ( OH )_2\) solution is used when the HCl solution was titrated against it. The numerical value of x is _________ \(\times 10^{-1}\). (Nearest integer)
Given : Molar mass of HCl and \(Ba ( OH )_2\) are 36.5 and \(171.0 g mol ^{-1}\) respectively.

When ' \(\mathrm{x}\) ' \(\times 10^{-2} \mathrm{~mL}\) methanol (molar mass \(=32 \mathrm{~g}\); density \(=0.792 \mathrm{~g} / \mathrm{cm}^3\) ) is added to \(100 \mathrm{~mL}\) water (density \(=1 \mathrm{~g} / \mathrm{cm}^3\) ), the following diagram is obtained. (Image) \(x=\) _______ (nearest integer) [Given: Molal freezing point depression constant of water at \(273.15 \mathrm{~K}^2\) is \(1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) ]

An electrochemical cell is constructed using half cells in the direction of spontaneous change
\(Fe(OH)_2(s) + 2e^- \rightarrow Fe(s) + 2OH^-(aq) \quad E^\theta = -0.88\) V
and \(AgBr(s) + e^- \rightarrow Ag(s) + Br^-(aq) \quad E^\theta = +0.07\) V
Which of the following option is correct?

Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure \(90\) kPa and temperature \(400\) K. Keeping the temperature of one vessel constant at \(400\) K the second vessel temperature is raised to \(500\) K. The final pressure in the vessels is _______ kPa.

A big drop is formed by coalescing \(1000\) small droplets of water. The surface energy will become _______.

In the given figure, the \(emf\) of the cell is \(2.2\, {V}\) and if internal resistance is \(0.6\, \Omega\). Calculate the power dissipated in the whole circuit: (in \(W\))

Let \(O\) be the origin and \(A\) be the point \(z _{1}=1+2 i\). If \(B\) is the point \(z _{2}, \operatorname{Re}\left( z _{2}\right)<0\), such that \(OAB\) is a right angled isosceles triangle with \(OB\) as hypotenuse, then which of the following is NOT true?

If equations \(ax^2 + bx + c = 0\) \(\left( {a,b,c \in R,a \ne 0} \right)\) and \(2x^2 + 3x + 4 = 0\) have a common root, then \(a : b : c\) equals