How can one say that temperature is not related to mass/ dependent on mass?

Question

I mean if you go using specific heat capacity,

specific heat capacity * mass = energy/ change in temp

If

SPH * 1/2 y = energy/ T- X

then it will be different from: SPH * y = energy/ T-X

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yet, look at this question:

The temperature of 100g of water is 25 degree celsius. When you divide the water into 5 parts, each part is 5 degree celsius.

Any idiot can tell it's wrong. My reasoning is that the average kinetic energy is equal throughout.

My teacher's reasoning is that temperature has no relation to mass.

Answer 1

Well, your teacher is definitely correct. The temperature does not rely upon mass. However, you're not precisely correct, actually:

Temperature is NOT the average kinetic energy of the constituent particles in a material. That's a common myth. Actually, temperature is:

1/ (dS/dE)

Where E is Energy, and S is the Entropy. The Entropy is the natural log of the number of microstates, (the number of different ways that a system of multiple items can be arranged which still has a certain energy.)

That number, 1/(dS/dE), does not change if you split the system in half, or in 5 parts, or in 500 parts.

Answer 2

1 .You are correct that molecules in 5 parts of water would move just as fast is in one whole part so long as the temperature is the same.

2. And your teacher is also correct. Temperature has no relationship to mass.

Answer 3

Mass is an amount of matter in an object. Temperature is how fast that matter vibrates.

Adding heat to something doesnt add mass, it adds to how fast the matter vibrates.

Edit: also if you divide 25C water into 5 parts each part will still be 25C.