A closed vessel with rigid walls contains 1 mol of `"_(92)^(238)U` and 1 mol of air at 298 K. Considering complete decay of `"_(92)^(238)U` to `"_(82)^(206)Pb` , the ratio of the final pressure to the initial pressure of the system at 298 K is

A closed vessel of fixed volume is filled with 3.2g O_(2) at a pressure of P atm and at a temperature of TK. The container is then heated to a temperature of (T+30)K. to maintain the pressure of P atm inside the container at (T+30)K, a certain amount of gas is removed from the container. the gas removed is found to have a volume of 246 mL at 1 atm and 27^(@)C . calculate T.

For the reaction, N_(2)O_(4)(g)hArr2NO_(2)(g) occurring in a closed vessel at 300K, the partial pressures of N_(2)O_(4)(g) and NO_(2)(g) at equilibrium are 0.28 atm and 1.1 atm respectively. What will be the partial pressures of these gases if the volume of the reaction system is doubled keeping the temperature constnt ?

The half-life of ._92^238U undergoing alpha -decay is 4.5xx10^9 year. What is the activity of 1 g. sample of ._92^238U ?

At constant volume and 298K, 1 mol of a gas is heated and the final temperature is 308K. If heat supplied to the gas is 500J, then for the overall process-

The initial rate of a first order reaction is 5.2 xx 10^(-6)" mol.lit"^(-1).s^(-1) at 298 K. When the initial concentration of reactant is 2.6xx10^(-3)" mol.lit"^(-1) , calculate the first order rate constant of the reaction at the same temperature.

For the reaction, 2 CO+ O_(2) to 2CO_(2), Delta H= - 560kJ . 2 mol CO and 1 mol of O_(2) are taken in container of volume 1L. They completely form two moles of CO_(2) . The gases deviate apreciably form ideal behaviour. If the pressure in the vessel changes from 70 to 40 atm, find the magnitude (absolute value) of Delta U at 500 K.

(i) The pressure and temperature of 0.8 g of He gas are 1 atm and 298 K respectively. If 400 J of heat is applied to the gas at constant volume, what will be change in internal energy and the final temperature of the gas ? (ii) If the same amount of heat is applied to the gas at constant pressure, then what will be the change in internal energy and the final temperature of the gas ? For both the cases, assume He gas behaves ideally and its C_(V)=(3)/(2)R .

When a mixture containing N_2 and H_2 in the molar ratio 1 : 3 is heated in presence of a catalyst in a closed vessel the following equilibrium is established: N_2(g)+3H_2(g) equilibrium, if the mole fraction of NH_3 is 0.6 and the total pressure of the equiHbrium mixture is 10 atm then K_P for the reaction 2NH_3(g)