A fixed mass of a gas at a temperature T is present in a container Exactly half

Question

A fixed mass of a gas at a temperature T is present in a container Exactly half the molecules of the gas are removed from the container without changing the average kinetic energy per molecule of the gas within the container what is the temperature of the gas still in the container? Four Identical insulated containers hold equal masses of different liquids at 0 degreec. Identical immersion heaters supply heat at the same rate to all liquids The specific heat and the boiling points of the liquid are provided below which liquid will boil first? Explain. Explain why the air that comes out of a burst tire cooler than the surrounding air What is change in the internal energy of a gaseous system in a cyclic process?

Explanation / Answer

1.The average kinetic energy of the molecules is proportional to absolute temperature.

here nothing is said about pressure or volume.

So temperature will be same as before.

in your question, half the number of molecules is removed from the container. Volume remains the same. but average number of molecules bombarding the walls per unit area is halved now. so pressure is halved. equation PV = nRT is still satisfied.

3.

Why do you blow on hot soup to cool it down? Faster moving air means more contact with the soup and more temperature transfer.

Air in a tire is under pressure. When the tire bursts, it expands quickly as the pressure drops to ambient conditions. As a result, it's moving quickly and it feels cooler

4.

Internal energy of a system is the energy possessed by the system due to molecular motion and molecular configuration.

The energy due to molecular motion is called internal kinetic energy UK and that due to molecular configuration is called internal potential energy UP.

i.e. Total internal energy U = UK + UP

(i) For an ideal gas, as there is no molecular attraction

(ii) In case of gases whatever be the process

(iii) Change in internal energy does not depends on the path of the process. So it is called a point function i.e. it depends only on the initial and final states of the system,

(iv) Change in internal energy in a cyclic process is always zero as for cyclic process

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