An aqueous solution of an electrolyte \(\text{A}_3\text{B}\) is prepared by dissolving 0.5625 moles in 750 ml of water and is found to be 80% ionised. If \(\text{K}_\text{b}\) for water is \(0.52\text{ K kg mol}^{-1}\), calculate the boiling point of the solution at 1.0 atm pressure.
(Assume the boiling point of pure water is 373 K).

............ is unstable at cooking temperature, whereas the control of sweetness of food is difficult while using .........

Pure water is neutral because

Which of the following is the correct sequence of relative acidic strength?

For an adiabatic change in a system, the condition which is applicable is

Which one of the following coordination compounds will exhibit both geometrical and optical isomerism?

An organic compound [X] (Molecular formula \(\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_2\) ) reacts with dil. \(\mathrm{H}_2 \mathrm{SO}_4\) to form an alcohol [B] and a carboxylic acid [C]. Reaction of compound \([\mathrm{B}]\) with Jones reagent yielded compound \([\mathrm{C}]\). When compound \([\mathrm{C}]\) was heated with \(\mathrm{P}_2 \mathrm{O}_5\) an Anhydride was formed. Compound \([\mathrm{X}]\) is ________.

A wire of length 1m has a resistance of \(20\ \Omega\) at \(0^\circ\)C. It is uniformly stretched so that its length increases by 21%. Assuming the volume of the wire remains constant, the percentage change in resistance is \(n\%\). Alternatively, if the wire is heated [without stretching] through a temperature of \(27^\circ\) C and if the temperature coefficient of resistance of the material of wire is \(0.004K^{-1}\), the percentage change in resistance is \(m\%\). The values of \(m\) and \(n\) are:

A square wire of each side l carries a current \(I\). The magnetic field at the mid-point of the square

A car, starting from rest, accelerates at a rate of \(\beta\) through a distance S, then continues at constant speed for time t and then decelerates at a rate of \(\dfrac{\beta}{2}\) to come to rest. If the total distance travelled is \(10\ S\), then ratio \(\dfrac{S}{t^2}\) is

Choose the correct metal/ ion from the brackets which ..........
A. has chemical reactivity similar to that of the first few members of the Lanthanoids \((\mathrm{Zn}, \mathrm{Ca}, \mathrm{Fe}, \mathrm{Cu})\).
B. has stable \(4 \mathrm{f}^7\) electronic configuration, but acts as a strong reducing agent and converts to \(\mathrm{M}^{3+}\) state. \(\left(\mathrm{Eu}^{2+}, \mathrm{Ce}^{2+}, \mathrm{Pr}^{2+}, \mathrm{Dy}^{2+}\right)\)
C. is a colorless ion \(\left(\mathrm{Tm}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Gd}^{3+}, \mathrm{Sm}^{3+}\right)\).
D. shows stable +2 oxidation state and is diamagnetic \((\mathrm{Ce}, \mathrm{Sm}, \mathrm{Ho}, \mathrm{Yb})\)

The change in the energy of system if \(500 \mathrm{cal}\) of heat energy are added to a system and system does \(350 \mathrm{cal}\) of work on the surroundings will be

The temperature of one mole of an ideal gas increases from \(298 \mathrm{~K}\) to \(308 \mathrm{~K}\), when it absorbs \(200 \mathrm{~J}\) of heat at constant volume. The change in the internal energy of the gas is