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Little temperature puzzle:

Original post by Subscriber sonhouse, 10 Feb '12 17:55
  1. Fast and Curious
    slatington, pa, usa
    Joined : 28 Dec '04
    Moves : 33697
    The ratio of temps between C and F is 1.6827. What is the temperature?
  2. Art, not a Toil
    60.13N / 25.01E
    Joined : 19 Sep '11
    Moves : 40566
    I think the answer you seek is 0 K.


    Outside my window the ratio has been uncomfortably close to one a few times this winter.. the downside of living next door to Santa.
    Who doesn't live on the North Pole, it's just disinformation given by the elves so that the big man can work in peace.
  3. Fast and Curious
    slatington, pa, usa
    Joined : 28 Dec '04
    Moves : 33697
    Originally posted by talzamir
    [hidden]I think the answer you seek is 0 K.[/hidden]

    Outside my window the ratio has been uncomfortably close to one a few times this winter.. the downside of living next door to Santa. [hidden]Who doesn't live on the North Pole, it's just disinformation given by the elves so that the big man can work in peace.[/hidden]
    Your box has nothing in it, nothing comes up.
  4. Fast and Curious
    slatington, pa, usa
    Joined : 28 Dec '04
    Moves : 33697
    Another one: Can there be a temperature with a ratio=square root of 3?
  5. Strange Egg
    podunk, PA
    Joined : 10 Dec '06
    Moves : 7398
    Originally posted by sonhouse
    Another one: Can there be a temperature with a ratio=square root of 3?
    I'm going to say no such ratio can exist, but close enough happens @ -26.2 C
  6. Fast and Curious
    slatington, pa, usa
    Joined : 28 Dec '04
    Moves : 33697
    Originally posted by joe shmo
    I'm going to say no such ratio can exist, but close enough happens @ -26.2 C
    Pretty close, 1.728. I saw there was a range where only one temperature would have a particular ratio, on the positive C side, the numbers asymptote towards 1.8 but on the negative side, since -273.15 is absolute zero, the ratio can't get to 1.8. It can if you allow say -300,000 C, which of course is a nonsense number.

    I was just playing with my casio calculator which has the C-F and F-C conversions and saw you could specify a ratio that would only work on the negative C side.
  7. Strange Egg
    podunk, PA
    Joined : 10 Dec '06
    Moves : 7398
    Originally posted by sonhouse
    Pretty close, 1.728. I saw there was a range where only one temperature would have a particular ratio, on the positive C side, the numbers asymptote towards 1.8 but on the negative side, since -273.15 is absolute zero, the ratio can't get to 1.8. It can if you allow say -300,000 C, which of course is a nonsense number.

    I was just playing with my casio ca ...[text shortened]... F-C conversions and saw you could specify a ratio that would only work on the negative C side.
    When I said

    (C/F) =/= Sqrt(3)

    Is because the irrational sqrt(3) cannot be expressed as the ratio of two integers
  8. Keeps
    Shanghai
    Joined : 16 Feb '06
    Moves : 88941
    Originally posted by joe shmo
    When I said

    (C/F) =/= Sqrt(3)

    Is because the irrational sqrt(3) cannot be expressed as the ratio of two integers
    But temperatures can have irrational values.
  9. Strange Egg
    podunk, PA
    Joined : 10 Dec '06
    Moves : 7398
    Originally posted by deriver69
    But temperatures can have irrational values.
    But can you measure irrational values?
  10. Joined : 26 Apr '03
    Moves : 20741
    9C/5+32=F
    C=160/(5F/C-9)
    F=160/(5-9C/F)

    I think temperature is a measure of the square of the average speed of a group of particles. As long as the particle speed can be irrational temperature can therefore be irrational, so this depends on whether speed is quantised or not.

    Since there is no consensus on whether time and distance are quantised, nobody knows for sure whether speed is quantised, and so nobody knows whether an irrational temperature is possible.
  11. Keeps
    Shanghai
    Joined : 16 Feb '06
    Moves : 88941
    Originally posted by joe shmo
    But can you measure irrational values?
    Interesting point with regard to temperature. You can measuire irrational lengths though for instance by using diagonals of rectangles with rational dimensions. Maybe I will have a word with the physics department see if they can come up with a plan (problem is they always want to round to a reasonable degree of accuracy).
  12. Joined : 11 Nov '05
    Moves : 43938
    Originally posted by deriver69
    Interesting point with regard to temperature. You can measuire irrational lengths though for instance by using diagonals of rectangles with rational dimensions. Maybe I will have a word with the physics department see if they can come up with a plan (problem is they always want to round to a reasonable degree of accuracy).
    There is no mening to measure irrational values of temperatures. But this doesn't mean that irrational values of temperatures doesn't exist.

    When a temp of 3 degree rises to 4 degrees, then every real value in between has been passed during the process. Even exactly pi degrees. Not for long though.
  13. Fast and Curious
    slatington, pa, usa
    Joined : 28 Dec '04
    Moves : 33697
    Originally posted by FabianFnas
    There is no mening to measure irrational values of temperatures. But this doesn't mean that irrational values of temperatures doesn't exist.

    When a temp of 3 degree rises to 4 degrees, then every real value in between has been passed during the process. Even exactly pi degrees. Not for long though.
    Can you imagine the circuitry needed to make a temperature exactly PI C?
  14. Joined : 26 Apr '03
    Moves : 20741
    Originally posted by sonhouse
    Can you imagine the circuitry needed to make a temperature exactly PI C?
    You just need a thermometer calibrated in radians
  15. Fast and Curious
    slatington, pa, usa
    Joined : 28 Dec '04
    Moves : 33697
    Originally posted by iamatiger
    You just need a thermometer calibrated in radians
    So you would be reading Radianation?
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