Home
Class 12
PHYSICS
There are two vessels. Each of them cont...

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.

Text Solution

Verified by Experts

The correct Answer is:
369.3K
Promotional Banner

Similar Questions

Explore conceptually related problems

A sample of gas is taken in a closed vessel at 20^(@)C . The gas is heated until the pressure and volume is doubled. What is the final temperature?

3 moles of a gas are present in a vessel at a temperature of 27^@C . What will be the value of R, the gas constant, in terms of the kinetic energy of the molecules of the gas ?

An open vessel at 27^(@)C is heated until 3//5^(th) of the air in it has been expelled. Assuming that the volume of the vessel remains constant find the air escaped out if vessel is heated to 900 K?

When gas in a vessel expands, it internal energy decreases. The process involved is

A vessel is filled with an ideal gas at a pressure of 20 atm and is a temperature of 27^@ C One - half of the mass is removed from the vessel and the temperature of the remaining gas is increased to 87^@ C . At this temperature, Find the pressure of the gas.

A closed vessel 10L in volume contains a diatomic gas under a pressure of 10^5N//m^2 . What amount of heat should be imparted to the gas to increase the pressure in the vessel five times?

The volume of vessel A is twice the volume of another vessel B and both of them are filled with the same gas. If the gas in A is at twice the temperature and twice the pressure in comparison to the gas in B, what is the ratio of number of gas molecule in A and B ?

One mole of an ideal monoatomic gas is taken at a temperature of 300 K . Its volume is doubled keeping its pressure constant. Find the change in internal energy.

A closed vessel contains 0.1 mole of a monatomic ideal gas at 200k . If 0.05 mole of the same gas at 400 K is added to it , the final equilibrium temperature (in K ) of the gas in the vessel will be close to ...............

A vessel containing one of mole of a monatomic ideal gas (molecular weight = 20 g/(mol) ) is moving on a floor at a speed of 50 m s^(-1) The vessel is stopped suddenly. Assuming that the mechanical energy lost has gone into the internal energy of the gas , find the rise in its temperature .