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Calculation involving very low temperature

I heard that the more you cool a system, the more the energy require to cool it increases in a non linear way, if thats the case if there a formula to for exemple cool a system to 0.0001K ? give any starting temperature mass and specific heat capacity
 
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sorry i didnt mean exactly 0 K thats why i added other 0's, but a temperature that approches 0 kelvin, wouldnt it be exponentially harder to lower it ? or at least not linearly
Q=m⋅c⋅ΔT

Is the forumla for calculating heat stuff

So the relationships are all linear, doubling the temperature change would double the energy

But cooling something that low would involve quantum stuff that is a lot more complex
 
Q=m⋅c⋅ΔT

Is the forumla for calculating heat stuff

So the relationships are all linear, doubling the temperature change would double the energy

But cooling something that low would involve quantum stuff that is a lot more complex
so cooling down a system isnt linear after a certain point right, ok
 
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