A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is :

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The workdone by the gas during the part CA is :

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

Given below are two statements : Statement I : When $$\mu$$ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2, T2), then work done is W = {{\mu R({T_2} - {T_1})} \over {1 - \gamma }}, where \gamma = {{{C_p}} \over {{C_v}}} and R = universal gas constant. Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise. Choose the correct answer from the options given below :

For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows :

According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0$${}^{\circ }$$C. B. The mean free path of gas molecules decreases if the density of molecules is increased. C. The mean free path of gas molecules increases if temperature is increased keeping pressure constant. D. Average kinetic energy per molecule per degree of freedom is {3 \over 2}{k_B}T (for monoatomic gases). Choose the most appropriate answer from the options given below :

A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is : (Given : initial temperature of the bullet = 127$${}^{\circ }$$C, Melting point of the bullet = 327$${}^{\circ }$$C, Latent heat of fusion of lead = 2.5 $$\times$$ 104 J kg$$-$$1, Specific heat capacity of lead = 125 J/kg K)

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be: [Take gas constant R = 8.3 JK$$-$$1mol$$-$$1]

The efficiency of a Carnot's engine, working between steam point and ice point, will be :

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by : (R = universal gas constant)

A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept at 27$${}^{\circ }$$C. The ratio of their average kinetic energy per molecule respectively will be :

A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10$${}^{\circ }$$C, calculate the increase in volume of the cube. (Given $$\alpha$$ = 5.0 $$\times$$ 10$$-$$4 $${}^{\circ }$$C$$-$$1).

A copper block of mass 5.0 kg is heated to a temperature of 500$${}^{\circ }$$C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper : 0.39 J g$$-$$1 $${}^{\circ }$$C$$-$$1 and latent heat of fusion of water : 335 J g$$-$$1]

The ratio of specific heats \left( {{{{C_P}} \over {{C_V}}}} \right) in terms of degree of freedom (f) is given by :

The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :

A Carnot engine takes 5000 kcal of heat from a reservoir at 727$${}^{\circ }$$C and gives heat to a sink at 127$${}^{\circ }$$C. The work done by the engine is

A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms$$-$$1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail? [Specific heat capacity of iron = 0.42 Jg$$-$$1 $${}^{\circ }$$C$$-$$1]

A Carnot engine whose heat sinks at 27$${}^{\circ }$$C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency?

Two metallic blocks M1 and M2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2 is K then the thermal conductivity of M1 will be : [Assume steady state heat conduction]

The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. Temperature of the liquid is : (Given 0$${}^{\circ }$$C = 273 K)