What concentration of nitrogen should be present in a glass of water at room temperature at `25^@C` , a total pressure of 1 atm and mole fraction on nitrogen in air of 0.78 [`K_H` for nitrogen = `8.42xx10^(-7)M//mmHg`].

The air is a mixture of a number of gases. The major components are oxygen and nitrogen with approximate proportion of 20% is to 79% by volume at 298 K. The water is in equilibrium with air at a pressure of 10 atm. At 298 K if the Henry's law constants for oxygen and nitrogen are 3.30xx10^7 mm and 6.51xx10^7 mm respectively, calculate the composition of these gases in water.

A steel tape 1m long is correctly calibrated for a temperature of 27.0 ^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 ^@C . What is the actual length of the steel rod on that day? What Is the length of the same steel rod on a day when the temperature is 27.0 ^@C ? Coefficient of linear expansion of steel = 1.20xx10^-5 K^-1 .

What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature? Surface tension of mercury at that temperature (20^@C) is 4.65 xx 10^-1 N m^-1 . The atmospheric pressure is 1.01 xx10^-5 Pa. Also give the excess pressure inside the drop.

A brass wire 1.8 m long at 27^@C is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of 39 ^@C , what is the tension developed in the wire, if its. diameter is 2.0 mm? Co-efficient of linear expansion of brass = 2.0 XX 10^-5 K^-1 Young’s modulus of brass = 0.91xx10^11 P

1.8g of glucose (C_6H_12O_6) is dissolved in 100g of water in a beaker. At what temperature will water in the solution boil at 1.013 bar? Given boiling point of pure water at 1.013 bar is 373.15K and K_b for water is 0.052K mol^(-1) .

Calculate the mass of CO_2 in 500 mL of soda water when packed unde 2.5 atm CO_2 pressure at 298K. Given that density of water is 1g mL^-1 and Henry's law constant for CO_2 in water is 1.67xx10^8 Pa at 298K.

100 mg of a protein is dissolved in just enough water to make 10.0 mL of solution. If this solution has an osmotic pressure of 13.3mm Hg at 25^@C , what is the molar mass of the protein? (R = 0.0821L atm mol^-1 K^-1 and 760mm Hg = 1atm)

The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about 1.1 xx 10^8 Pa. A steel ball of initial volume 0.32 m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

One mole of naphthalene ( C_10H_8 ) is burnt in oxygen at constant volume to give CO_2 and water at 25^@C The heat evolved is found to be -5138.8 KJ mol^(-1) Calculate the heat of reaction at constant pressure.