Advertisement Remove all ads

Two Absolute Scales a and B Have Triple Points of Water Defined to Be 200 a and 350 B. What is the Relation Between Ta And Tb - Physics

Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between TA and TB?

Advertisement Remove all ads

Solution 1

Triple point of water on absolute scaleA, T1 = 200 A

Triple point of water on absolute scale B, T2 = 350 B

Triple point of water on Kelvin scale, TK = 273.15 K

The temperature 273.15 K on Kelvin scale is equivalent to 200 A on absolute scale A.

T1 = TK

200 A = 273.15 K

`:.A = 273.15/200`

The temperature 273.15 K on Kelvin scale is equivalent to 350 B on absolute scale B.

T2 = TK

350 B = 273.15

`:.B= 273.15/350`

TA is triple point of water on scale A.

TB is triple point of water on scale B.

`:. (273.15)/200 xx T_A = (273.15)/350 xx T_B`

`T_A = 200/350 T_B`

Therefore, the ratio TA : Tis given as 4 : 7.

Solution 2

As we know, triple point of water on absolute scale = 273.16 K, Size of one degree of kelvin scale on absolute scale A

`= 273.16/200`

Value of temperature `T_A` on absolute scale A

`= 273.16/200 T_A`

Value of temperature `T_B` on absolute scale B

`= 273.16/350 T_B`

Since `T_A " and  " T_B` represent the same temperature

`:. 273.16/200T_A = 273.16/350T_B`

or ` T_A = 200/350T_B = 4/7 T_B`

Concept: Measurement of Temperature
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 11 Thermal Properties of Matter
Q 2 | Page 294
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×