Calculate the difference between the two specific heats of Helium gas per gram. Given that molecular weight of He = 4, J = 4.18 joule/cal and R = `8.31 J mole^-1//K^-1`?

5 moles of oxygen are heated at constant volume from 10^@C ot 20^@C .What will be the change in the internal enregy of the gas?The molar specific heat of oxygen at constant pressure is C_p=7.03 cal mol^(-1) deg^-1 and R=8.36 Joule mol^(-1) "^oC^(-1) .

The volume of a liquid flowing out per second of pipe of length l and radeius r is wrteen by a student as v = (pi P r ^4)/(8 eta l) where P is the pressure difference between the two ends of the pipe and eta is coefficent of viscosity of the liquid having dimensional formula ML^-1T^-1 Check whether the equation is dimensionally correct.

Glycerine flows steadily through a horizontal tube of length 1.5 m and radius 1.0 cm. If the amount of glycerine collected per second at one end is 4.0xx 10^-3 kg s^-1 , what is the pressure difference between the two ends of the tube ? (Density of glycerine = 1.3xx 10^3 kg m^-3 and viscosity of glycerine = 0.83 Pa s). [You may also like to check if the assumption of laminar flow in the tube is correct].

What amount of heat must be supplied to 2.0 xx 10^-2 kg of nitrogen (at room temperature) to raise its temperature by 45 ^@C at constant pressure ? (Molecular mass of N_2 = 28, R = 8.3 J mol^-1 K^-1. )

If 10^(-4) dm^(3) of water is introduced into a 1.0 dm^(3) flask to 300K how many moles of water are in the vapour phase when equilibrium is established ? (Given vapour pressure of H_(2)O at 300K is 3170Pa R =8.314 JK^(-1) mol^(-1)) .

An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 ^@C . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 ^@C . Estimate the mass of oxygen taken out of the cylinder ( R= 8.31 J mol^-1 K^-1 ’, molecular mass of O_2 = 32 u)

The rate of reaction becomes four times when the temperature changes from 293 K to 313 K. Calculate the energy of activation (E _(a)) of the reacton assuming that it does not change with temperature. [ R = 8.314 J K ^(-1) mol ^(-1), log 4 = 0. 6021]

Two reactions of the same order have equal pre-exponential factors but their activation energies difter by 24.9 kJ mol^-1 . Calculate the ratio between the rate constants of these reactions at 27^@C . (Gas constant, R= 8.3 JK^-1 mol^-1 ).

In Young's double slit experiment the width of the fringes obtained with ith of wavelength 4,500 overset@A is 1.8 mm.If the distance between the two slits is 0.3 mm,find the distance of the screen from the slits.What will be the fringe width,if the enitre apparatus is immersed in water of refraction index 4//3 .

Surface tension is exhibited by liquids due to force of attraction between molecules of the liquid. The surface tension decreases with increase in temperature and vanishes at boiling point. Given that the latent heat of vaporation for water rho_(w) = 540kcal/kg ,mechanical equivalent heat =4.2j/cal Avogadro's No. N_A = 6.0 xx 10^26 , and the molecular weight of water M_A = 18 kg for 1 k mole. Estimate the energy required for oe molecule of water to evaporate.