Question

Two absolute scale A and B have triple points of water defined to be at 200 A and 350 B. The relation between $T_{A}$ and $T_{B}$ is

• A. $T_{A} = 4/7\ T_{B}$
• B. $T_{B} = 4/7\ T_{A}$
• C. $T_{A} = 2/7\ T_{B}$
• D. $T_{B} = 2/7\ T_{A}$

Answer 1

Answer: (A)

$T_{A} = 4/7\ T_{B}$

Answer 2

Here, triple point of water on scale A = 200A

Triple point of water on scale B = 350 B

200A = 350B = $273.16K$ (given)

Or $1A = \frac{273.16}{200}k$and $1B = \frac{273.16}{350}K$

If $T_{A}$and $T_{B}$represent the triple point of water on scales A and B, then

$\frac{27316}{200}T_{A} = \frac{273.16}{350}T_{B}$or $\frac{T_{A}}{T_{B}} = \frac{250}{350}$Or $T_{A} = \frac{4}{7}T_{B}$