The density of turpentine at 293 K is given as `870 kg m^-3`. Identify and write the name of the substances that sink in turpentine at the same temperature.

Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is 7.3xx 10^-2 N m^-1 '. Take the angle of contact to be zero and density of water to be 1.0xx 10^3 kg m^- 3 ( g = 9.8 m s^-2 ) .

It is known that density rho of air decreases with height y (in metres) as : rho = rho_(0) e^(-y//y_0) where rho_0 = 1.25 kg m^-3 is the density at sea level and y_0 is a constant. This density variation is called the law of atmospheres. Obtain this law assuming the temperature of atomoshpere remains constant (isothermal conditions). Also assume that the value of g remains constant.

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle 30^@ with each other. When suspended in a liquid of density 800 kg m^-3 , the angle remains the same. Wahat is the dielectric constant of the liquid? The density of the material of the sphere is 1600 kg m^-3

The resistance of a conductivity cell with 0.1 M KCl solution is found to be 200 ohm at 298K. When the same cell was filled with 0.02 M NaCl solution, the resistance at the same temperature is found to be 1100 ohm . Calculate: the molar conductivity of 0.02 M NaCl solution in S m^2 mol^-1 . Given: Conductivity of 0.1 M KCl solution at 298K = 1.29 S m^-1 .

The resistance of a conductivity cell with 0.1 M KCl solution is found to be 200 ohm at 298K. When the same cell was filled with 0.02 M NaCl solution, the resistance at the same temperature is found to be 1100 ohm . Calculate: the cell constant of the cell in m^-1 . Given conductivity of 0.lM KCl is 1.29 Sm^(-1) ]

A thermocole box is a cheap and effieicnet method for storing small quantity of cooked food in summer in particular. A cubical box of side 30 cm has a thickness of 5 cm. If 4 kg of ice are put in a box. Estimate the amount of ice remaining after 6 h. The outside temperature 45^@C , and coefficient K = 0.01 J s^-1 m^-1 k^-1 [Heat of fusion of water = 335 xx 10^3 J kg^-1] .

Mercury has an angle of contact equal to 140^@ with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside ? Surface tension of mercury at the temperature of the experiment is 0.465 N m^-1 . Density of mercury = 13.6xx 10^3 kg m^-3 .

Estimate the average mass density of a sodium atom assuming its size to be about 2.5 overset@A . (Use the known values of Avogadro’s number and the atomic mass of sodium). Compare it with the density of sodium in its crystalline phase : 970 kg m^-3 . Are the two densities of the same order of magnitude ? If so, why ?

A rigid and insulated tank of 3m^(3) volume is divided into two compartments. One compartment of volume of 2m^(3) contains an ideal gas at 0.8314 Mpa and 400 K while the second compartment of volume of 1m^(3) contains the same gas at 8.314 Mpa and 500 K. If the partition between the two compartments is rptured, the final temperature of the gas is :