Question

One gram mole of oxygen at 27^@ and one atmospheric pressure is enclosed in vessel.
(i) Assuming the molecules to be moving the V_(rms), Find the number of collisions per second which the molecules make with one square metre area of the vessel wall.
(ii) The vessel is next thermally insulated and moved with a constant speed V_0. It is then suddenly stopped. The process results in a rise of the temperature of the gas by 1^@C. Calculate the speed V_0.

Answer 1

Answer:

One gram mole of oxygen at

and one atmospheric pressure is enclosed in vessel. <br> (i) Assuming the molecules to be moving the

, Find the number of collisions per second which the molecules make with one square metre area of the vessel wall. <br> (ii) The vessel is next thermally insulated and moved with a constant speed

. It is then suddenly stopped. The process results in a rise of the temperature of the gas by

. Calculate the speed

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Text Solution

Answer :

A::B::C

Solution :

<br>

<br> Now, momentum change per second <br>

<br> Where n is the number of collisions per second per <br> From (i) and (ii) <br>

<br> Root mean square velocity <br>

<br> According to mole concept

molecules will <br> have mass 32g <br>

<br>

<br> (ii) The kinetic energy of motion of molecules will be <br> converted into heat energy. <br>

<br> Where

is the velocity with which the vessel was <br> moving. <br> The heat gainded by 1 gm mole of molecules at constat <br> volume for

rise in temperature <br>

<br> From (i) and (ii) <br>

<br>

<br>

<br>