Calculate the value of R in :
(i) SI units , (II) Cal `"degree"^(-1) "mol"^(-1)` , (iii) Litre atm `K^(-1) "mol"^(-1)`

The units of DeltaS are JK^(-1) mol^(-1) .

What is the value if R when its units are L atm K^(-1) mol^(-1) ?

A 5% solution of CaCl_(2) at 0^(@)C developed 15 atmospheric pressure. Calculate the degree of dissociation. (mol. wt. (M) of CaCl_(2) = 111 a.m.u., R = 0.0821 L atm. K^(-1) "mol"^(-1) )

The freezing point of an aqueous solution of non-electrolyte having an osmotic pressure of 2.0 atm at 300 K will be, (K_(f) "for " H_(2)O = 1.86K mol^(-1)g) and R = 0.0821 litre atm K^(-1) mol^(-1) . Assume molarity and molarity to be same :

Calculate the pressure of 154 g carbon dioxide in a vessel of 2.0 L capacity at 30^(@)C , a = 648 L bar atm K^(-1) mol^(-1), b = 0.0427 L mol^(-1)

A graph is plotted for a vanderwaal's gas between PV_(m) vs P leading to an intercept of 22.16 litre-atm. The temperature of gas at which these observations of P and V_(m) were made is ___________ ""^(@)C (R = 0.08 " litre atm" K^(-1) mol^(-1))

10 moles of a gas are heated at constant volume from 20^@C" to "30^@C . Calculate the change in the internal energy of the gas. The molar heat capacity of the gas at constant pressure, C_p = 6.82 cal K^(-1) mol^(-1) and R = 1.987 cal K^(-1) mol^(-1) .

The volume to be excluded due to only two molecules of a gas in collision with a fixed point of impact is 0.09 l mol^(-1) . If the value of 'a' is 3.6 atm L^(2) mol^(-2) , Calculate Boyle temperature. (R = 0.08 L atm K^(-1) m^(-1) )

A cylinder containing an ideal gas (0.1 mol of 1.0 dm^(3) ) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers S_(1) and S_(2) (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be _____________. (Given K_(f) (water) =2.0 K kg "mol"^(-1), R=0.08 dm^(3) atm K^(-1) "mol"^(-1) )

Calculate the entropy change accompanying the following change of state H_(2)O (s, -10^(@)C, 1 atm) rarr H_(2)O(l, 10^(@)C, 1atm) C_(P) for ice = 9 cal deg^(-1) mol^(-1) C_(P) for H_(2)O = 18 cal deg^(-1) mol^(-1) Latent heat of fustion of ice = 1440 cal mol^(-1) at 0^(@)C .