A container fitted with frictionless massless piston consists of five valves -I,II,III,IVandV. These valves open automatically if pressure exceed over 1.5,2.2,2.5,4.4 and 4.8 atm respectively Under diagram) system is in sate of equilibrium. Piston is now presisted in downward direction very slowly. [Note: Consider the diameter of valve tube negligible and temperature remains constant.]

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Solid CaSO_(4).2H_(2)O is taken in a container fitted with a frictionless piston initially containing no other gases. The external pressure is maintained at 1 atm and the container is heated till the equilibrium is achieved. CaSO_(4).2H_(2)O(s) rArr 2CaSO_(4) (s) + 2H_(2)O (g) If Delta H^(@) = + 30 K cal//mol and Delta S^(@) = + 40 cal //K , at what temperature equilibrium will be establised in the container. (Ignore variation of Delta H_(0) and Delta S_(0) with temperature)

Two containers C1 and C2 of volumes V and 4V respevtively hold the same ideal gas and are connected by a thin horizontal tube of negligible volume with a valve which is initially closed. The initial pressures of the gas in C1 and C2 are P and 5P, respectively. Heat baths are employed to maintain the temperatures in the containers at 300 K and 400 K respectively. The valve is now opened. Select the correct statement:

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring loaded piston of cross-sectional area 4 xx 10^(-3)m^(2) . The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does 50J of work in moving the piston through a distance 0.10m . The temperature of the gas increases by 50K . Calculate the spring constant and the heat supplied by the heater. P_(atm) = 1 xx 10^(5)N//m^(2)R = 8.314 J//mol-K

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring loaded piston of cross-sectional area 4 xx 10^(-3)m^(2) . The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does 50J of work in moving the piston through a distance 0.10m . The temperature of the gas increases by 50K . Calculate the spring constant and the heat supplied by the heater. P_(atm) = 1 xx 10^(5)N//m^(2)R = 8.314 J//mol-K

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring loaded piston of cross-sectional area 4 xx 10^(-3)m^(2) . The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does 50J of work in moving the piston through a distance 0.10m . The temperature of the gas increases by 50K . Calculate the heat supplied by the heater. P_(atm) = 1 xx 10^(5)N//m^(2)R = 8.314 J//mol-K

In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box 1 and 2, respectively, are (1 atm, V, T) and (0.5 atm, 4V, T). When the valve is opened, the final pressure of the system is approximately