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Inter-Conversion of Temperature in Different Scales

Q.: In a temp...

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Q.: In a temperature scale X ice point of water is assigned a value of 20° X and the boiling point of water is assigned a value of 220° X . In another scale Y the ice point of water is assigned a value of – 20° Y and the boiling point is given a value of 380° Y. At what temperature the numerical value of temperature on both the scales will be same?

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Q. The temperature t on a thermometric scale is defined in terms of a property P by a relation

t = a e^{p} + b

The values of P are found to be 1.56 and 8.25 at ice point and steam point the temperatures of which are assigned as 0 and 100 respectively. The temperature on this scale corresponding to value of P as 5.41 is

Q. Answer the following : (a) The triple-point of water is a standard fixed point in modern thermometry. Why ? What is wrong in taking the melting point of ice and the boiling point of water as standard fixed points (as was originally done in the Celsius scale) ? (b) There were two fixed points in the original Celsius scale as mentioned above which were assigned the number 0 °C and 100 °C respectively. On the absolute scale, one of the fixed points is the triple-point of water, which on the Kelvin absolute scale is assigned the number 273.16 K. What is the other fixed point on this (Kelvin) scale ? (c) The absolute temperature (Kelvin scale) T is related to the temperature tc on the Celsius scale by t_c = T – 273.15 Why do we have 273.15 in this relation, and not 273.16 ? (d) What is the temperature of the triple-point of water on an absolute scale whose unit interval size is equal to that of the Fahrenheit scale ?

Q. On Reaumer scale of temperature the melting point of ice and the boiling point of water are taken as 0R and 80R respectivel. The freezing point and boiling point of mercury on Celsius scale are 39C and 367C respectively. Express these temperature on Reaumer scale.

X

temperature scale, water freezes at

- {125.0}^{o}

{375.0}^{o} X

Y

temperature scale water freezes at

- {70.0}^{o} Y

- {30.0}^{o} Y

. The value of temperature on

X

scale equals to the temperature of

{50.0}^{o} Y

Y -

Q. On an X temperature scale, water freezes at- 125.0 X and boils at X. On a Y temperature scale . water freeze at - 70.0 Y and boils at - 30.0 Y The value of temperature on X -scale equal to the temperature of 50.0 Y on Y - scale is:

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Inter-Conversion of Temperature in Different Scales

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