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NTA JEE Main 7th April 2013 Online - Chemistry

For the following questions answer them individually

Experimentally it was found that a metal oxide has formula $$M_{0.98}O$$. Metal M, is present as $$M^{2+}$$ and $$M^{3+}$$ in its oxide. Fraction of the metal which exists as $$M^{3+}$$ would be:

Energy of an electron is given by $$E = -2.178 \times 10^{-18}\left(\frac{Z^2}{n^2}\right)$$ J. Wavelength of light required to excite an electron in a hydrogen atom from level n=1 to n=2 will be :
$$(h = 6.62 \times 10^{-34}$$ Js and $$c = 3.0 \times 10^8$$ ms$$^{-1})$$

For gaseous state, if most probable speed is denoted by $$C^*$$, average speed by $$\bar{C}$$ and root mean square speed by C, then for many molecules, what is the ratios of these speeds?

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.0°C. The values of q and w for the process will be
(R = 8.314 J/mol K) (ln7.5 = 2.01)

Consider the following reaction:
$$x \ MnO_4^- + y \ C_2O_4^{2-} + zH^+ \rightarrow x \ Mn^{2+} + 2y \ CO_2 + \frac{z}{2} H_2O$$
The values of x, y and z in the reaction are, respectively:

Four successive members of the first row of transition elements are listed below with atomic numbers. Which one of them is expected to have the highest $$E^\circ_{M^{3+}/M^{2+}}$$ value?

The rate of a reaction doubles when its temperature changes from 300K to 310K. Activation energy of such a reaction will be:
$$(R = 8.314$$ JK$$^{-1}$$ mol$$^{-1}$$ and log 2 = 0.301$$)$$

The coagulating power of electrolytes having ions Na$$^+$$, Al$$^{3+}$$ and Ba$$^{2+}$$ for arsenic sulphide sol increases in the order,

Which of the following arrangements does not represent the correct order of the property stated against it?

Given:
$$E^\circ_{Cr^{3+}/Cr} = -0.74$$ V; $$E^\circ_{MnO_4^-/Mn^{2+}} = 1.51$$ V
$$E^\circ_{Cr_2O_7^{2-}/Cr^{3+}} = 1.33$$ V; $$E^\circ_{Cl_2/Cl^-} = 1.36$$ V
Based on the data given above, strongest oxidising agent will be:

An unknown alcohol is treated with the "Lucas reagent" to determine whether the alcohol is primary, secondary or tertiary. Which alcohol reacts fastest and by what mechanism: