Aqueous HCl reacts with \(MnO_{2}(s)\) to form \(MnCl_{2}(aq)\), \(Cl_{2}(g)\) and \(H_{2}O(l)\). What is the weight (in g) of \(Cl_{2}\) liberated when 8.7 g of \(MnO_{2}(s)\) is reacted with excess aqueous HCl solution?
(Given Molar mass in \(g mol ^{-}\) Mn=55, Cl=35.5, O=16, H=1)

\(20\text{ g}\) hemoglobin in a \(1\text{ L}\) aqueous solution (A) at \(300\text{ K}\) is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a tube dipped in a solution (A) is found to be \(80.0\text{ mm}\) higher than the tube dipped in water. The molar mass of hemoglobin is _______ \(\text{kg mol}^{-1}\). (Nearest integer)
(Given : \(g = 10\text{ m s}^{-2}\), \(R = 8.3\text{ kPa dm}^3\text{ K}^{-1}\text{mol}^{-1}\), density of solution \(= 1000\text{ kg m}^{-3}\))

The following reaction is performed at \(298 \,K.\) \(2NO(g) + O_2(g) \rightleftharpoons  2NO_2(g)\) The standard free energy of formation of \(NO(g)\) is \(86.6\, kJ/mol\) at \(298 \,K.\) What is the standard free energy of formation of \(NO_2(g)\) at \(298\, K\) ? (\(K_p = 1.6 \times 10^{12})\)

An ideal gas undergoes isothermal compression from \(5\, m^3\) to \(1\, m^3\) against a constant external pressure of \(4\, Nm^{-2}\). Heat released in this process is used to increase the temperature of \(1\, mole\) of \(Al\). If molar heat capacity of \(Al\) is \(24\, J\, mol^{-1}\,K^{-1}\), the temperature of \(Al\) is increases by

For a given reaction \(\mathrm{R} \rightarrow \mathrm{P}, \mathrm{t}_{1 / 2}\) is related to \([\mathrm{A}]_0\) as given in table.
Given: \(\log 2=0.30\)
Which of the following is true?
A. The order of the reaction is \(1 / 2\).
B. If \([\mathrm{A}]_0\) is 1 M , then \(\mathrm{t}_{1 / 2}\) is \(200 \sqrt{10} \mathrm{~min}\)
C. The order of the reaction changes to 1 if the concentration of reactant changes from 0.100 M to 0.500 M .
D. \(\mathrm{t}_{1 / 2}\) is 800 min for \([\mathrm{A}]_0=1.6 \mathrm{M}\)
Choose the correct answer from the options given below:

Which of the following compounds will give silver mirror with ammoniacal silver nitrate?
(A) Formic acid
(B) Formaldehyde
(C) Benzaldehyde
(D) Acetone
Choose the correct answer from the options given below :

A sample of milk splits after \(60 \;min\). at \(300\; \mathrm{K}\) and after \(40 \;min\). at \(400 \;\mathrm{K}\) when the population of lactobacillus acidophilus in it doubles. The activation energy (in \(\mathrm{kJ} / \mathrm{mol}\) ) for this process is closest to ............. \(\mathrm{kJ/mole}\) (Given, \(\mathrm{R}=8.3\; \mathrm{J} \mathrm{mol}^{-1} \mathrm{K}^{-1}\)\(, \ln \left(\frac{2}{3}\right)=0.4\) \(\left.e^{-3}=4.0\right)\)

Consider the given chemical reaction : Product ' \(A\) ' is _______.

If the term independent of \(x\) in the exapansion of \(\left(\frac{3}{2} x^{2}-\frac{1}{3 x}\right)^{9}\) is \(k,\) then \(18 k\) is equal to

Let \(a, b\) and \(c\) be in \(G.P\) with common ratio \(r,\) where \(a \ne 0\) and \(0\, < \,r\, \le \,\frac{1}{2}\).  If \(3a, 7b\) and \(15c\) are the first three terms of an \(A.P.,\) then the \(4^{th}\) term of this \(A.P\) is

In photoelectric effect, the stopping potential \(\left(\mathrm{V}_0\right) \mathrm{v} / \mathrm{s}\) frequency \((\nu)\) curve is plotted.
( h is the Planck's constant and \(\phi_0\) is work function of metal )
(A) \(\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu\) is linear.
(B) The slope of \(\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu\) curve \(=\frac{\phi_0}{\mathrm{~h}}\)
(C) h constant is related to the slope of \(\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu\) line.
(D) The value of electric charge of electron is not required to determine \(h\) using the \(V_0 \mathrm{v} / \mathrm{s} \nu\) curve.
(E) The work function can be estimated without knowing the value of \(h\).
Choose the correct answer from the options given below :

Let \(P\) be the point of intersection of the common tangents to the parabola \(y^2 = 12x\) and the hyperbola \(8x^2 -y^2 = 8\). If \(S\) and \(S'\) denote the foci of the hyperbola where \(S\) lies on the positive \(x-\) axis then \(P\) divides \(SS'\) in a ratio

Consider a rectangular sheet of solid material of length \(\ell=9 \mathrm{~cm}\) and width \(\mathrm{d}=4 \mathrm{~cm}\). The coefficient of linear expansion is \(\alpha=3.1 \times 10^{-5} \mathrm{~K}^{-1}\) at room temperature and one atmospheric pressure. The mass of sheet \(\mathrm{m}=0.1 \mathrm{~kg}\) and the specific heat capacity \(\mathrm{C}_{\mathrm{v}}=900 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\). If the amount of heat supplied to the material is \(8.1 \times 10^2 \mathrm{~J}\) then change in area of the rectangular sheet is :-