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Thermal Properties of Matter

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Question : 2 of 22
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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 TBT_A \text{ and } T_B?
Solution:  
Here, triple point of water on scale, A=200AA = 200 A
triple point of water on scale B=350BB = 350 B
triple point of water on kelvin scale =273.16 K= 273.16\,\mathrm{K}
According to question, 200A=350B=273.16 K200 A = 350 B = 273.16\,\mathrm{K}
1A=273.16200K,1 A = \frac{273.16}{200} \mathrm{K},
1B=273.16350K1 B = \frac{273.16}{350} \mathrm{K}
If TAT_A and TBT_B represent the triple point of water on two scales A and B, then
273.16200TA=273.16350TB,\frac{273.16}{200} T_A = \frac{273.16}{350} T_B,
TATB=200350=47,\frac{T_A}{T_B} = \frac{200}{350} = \frac{4}{7},
TA=47TBT_A = \frac{4}{7} T_B
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