Home
Class 12
PHYSICS
Consider a gas filled in a part of therm...

Consider a gas filled in a part of thermally insulated vessel with frictionless insulated piston (connected to a massless spring). Natural length of the spring equals length of the vessel. For 30 J of heat supplied, internal energy of gas increases by 25 J. find the number of atoms in one molecule.

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|12 Videos

  • THERMODYNAMICS

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|20 Videos

  • THERMODYNAMICS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-I) Subjective Type|5 Videos

  • THERMAL PROPERTIES OF MATTER

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-J) Akash Challengers Questions|7 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

In the arrangement shown in the fig the cylinder is insulating one. Both sides same diatomic gas is trapped by two insulting massless pistos with the help of an ideal spring. The natural length of the spring is equal to the length of the cylinder. initial state of the gases are as shown in the figure. What is the value of energy stored in the spring ?

An ideal gas is filled in a closed rigid and thermally insulated container. A coil of 100Omega resistor carrying current 1 A for 5 minutes supplies heat to the gas. The change in internal energy of the gas is

An ideal gas is filled in a closed rigid and thermally insulated container. A coil of 100Omega resistor carrying current 1 A for 5 minutes supplies heat to the gas. The change in internal energy of the gas is

A gas is enclosed in a cylindrical vessel fitted with a frictionless piston.the gas is slowly heated for some time. During the process, 10 J of heat is supplied and the piston is found to move out 10cm. Find the increase in the internal energy of the gas, the area of cross section of the cylinder= 4 cm^(2) and the atmospheric pressure =100 kPa.

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

A gas is contained in a vessel fitted with a movable piston. The container is placed on a stove. A total of 100 cal of heat is given to the gas and the gas does 40 J of work in the expansion resulting from heating. Calculate the increase in internal energy in the process.

A fixed container is fitted with a piston which is attached to a spring of spring constant k . The other and of the spring is attached to a rigid wall. Initially the spring is in its natural length and the length of container between the piston and its side wall is L . Now an dideal diatomic gas is slowly filled in the container so that the piston moves quasistatically. It pushed the piston by x so that the spring now is compressed by x . The total rotaional kinetic energy of the gas molecules in terms of the displacement x of the piston is (there is vacuum outside the container)

There are two vessels. Each of them contains one moles of a monoatomic ideal gas. Initial volume of the gas in each vessel is 8.3 xx 10^(-3) m^(3) at 27^(@)C . Equal amount of heat is supplied to each vessel. In one of the vessels, the volume of the gas is doubled without change in its internal energy, whereas the volume of the gas is held constant in the second vessel. The vessels are now connected to allow free mixing of the gas. Find the final temperature and pressure of the combined gas system.

A weightless piston divides a thermally insulated cylinder into two parts of volumes V and 3V.2 moles of an ideal gas at pressure P = 2 atmosphere are confined to the part with volume V =1 litre. The remainder of the cylinder is evacuated. The piston is now released and the gas expands to fill the entire space of the cylinder. The piston is then pressed back to the initial position. Find the increase of internal energy in the process and final temperature of the gas. The ratio of the specific heats of the gas, gamma =1.5 .

A thermally insulated vessel containing diatomic gas of molar mass M is moving with velocity v. the temperature of gas is T. if it is suddenly stopped, then A. Internal energy of gas is equal to (5nRT)/(2) when vessel is moving B. There is no change in temperature if vessel is suddenly stopped C. There is rise in temperature if vessel is suddenly stopped D. Temperature increase is due to heat input