Physical Chemistry Questions

The first ionization potential of $\text{Na}$ is $5.1\text{eV}$. The value of electron gain enthalpy of ${\text{Na}}^{+}$ will be:

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

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

For gaseous state, if most probable speed is denoted by $C^{\ast }$, average speed by $\bar{C}$ and root mean square speed by $C$, then for a large number of molecules the ratios of these speeds are:

The molarity of a solution obtained by mixing $750\text{mL}$ of $0.5\text{M HCl}$ with $250\text{mL}$ of $2\text{M HCl}$ will be:

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

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

Given:$E_{{\text{Cr}}^{3+}/\text{Cr}}^0=-0.74\text{V}$$E_{{\text{MnO}}_4^{-}/{\text{Mn}}^{2+}}^0=+1.51\text{V}$$E_{{\text{Cr}}_2{\text{O}}_7^{2-}/{\text{Cr}}^{3+}}^0=+1.33\text{V}$$E_{{\text{Cl}}_2/{\text{Cl}}^{-}}^0=+1.36\text{V}$ Based on the data given above, the strongest oxidising agent will be:

Consider the following reaction:
$$x{\text{MnO}}_4^{-}+y{\text{C}}_2{\text{O}}_4^{2-}+z{\text{H}}^{+}\to x{\text{Mn}}^{2+}+2y{\text{CO}}_2+\frac{z}{2}{\text{H}}_2\text{O}$$
The values of $x,y$ and $z$ in the reaction are, respectively:

How many litres of water must be added to $1\text{litre}$ of an aqueous solution of $\text{HCl}$ with a $\text{pH}$ of $1$ to create an aqueous solution with $\text{pH}$ of $2$?

A piston filled with $0.04\text{mol}$ of an ideal gas expands reversibly from $50.0\text{mL}$ to $375\text{mL}$ at a constant temperature of $37.00^{\circ }\text{C}$. As it does so, it absorbs $208\text{J}$ of heat. The values of $q$ and $w$ for the process will be ($R=8.314\text{J/mol K}$):