00:01
Hello friends, today we are going to discuss this problem in which the problem says the molar heat capacity of oxygen gas at stp is nearly 2 .5r.
00:11
As the temperature is increased, it gradually increases and approaches 3 .5r.
00:16
The most appropriate reason for this behavior is that at high temperature, what happens? okay, so particularly we have to, you know, point out which option is true out of the given options.
00:28
So, if i write that what problem is given, then i can say that all this thing are being discussed initially at sdp and at that temperature we were having the value of molar heat capacity.
00:41
I can write it also.
00:43
This is my given section of the problem, right? these things are given in the problem.
00:46
So i can write that molar heat capacity given in the problem initially is 2 .5r and final molar heat capacity, it can be written as final.
00:58
Then molar heat capacity okay so i'm just saving time so i write molar heat capacity as for heat capacity so it will have the value 3 .5 r okay so i can say that most appropriate reason for this behavior is can be you have to know about something about degrees of freedom if you don't know let me tell you whatever degrees of freedoms are you will understand here that what does what is the quantity on which degree uh molar heat capacity depends upon so molar heat capacity depends upon degree of freedom what is degree of freedom degree of freedom is the you know kind of path where molecule can travel freely when uh when it is provided okay so if i talk about degrees of freedom so basically there are three degrees of freedom firstly we have translational degree of freedom which means that any molecule can move in any of the hexes one at a time okay that is if a molecule is like say say that we have a molecule like co2, then it is moving in the x -axis direction or in the y -axis direction or in the z -xist direction but only one at a time.
02:06
So this is the translational degree of freedom.
02:08
I can say that at low temperature we only witness translational degree of freedom.
02:13
That's why we were having the value of molar heat capacity as 2 .5 r.
02:17
But at high temperature, that is when temperature was increased, what happened, all kinds of degrees of freedom...