Question

Select the correct option given below:
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. $T_A=4/7T_B$
• B. $T_B=4/7T_A$
• C. $T_A=2/7T_B$
• D. $T_B=2/7T_A$

Answer 1

The correct option is A $T_A=4/7T_B$

Here,

triple point on scale $A=200A$

triple point on scale $B=350B$

The triple point of water remains the same. So, the two scales are represented as:

$200A=350B=273.16K$

The triple point of water on two scales A and B, then

$\frac{273.16T_A}{200}=\frac{273.16T_B}{350}$

$\frac{T_A}{T_B}=\frac{200}{350}$

$\frac{T_A}{T_B}=\frac{4}{7}$

$T_A=\frac{4T_B}{7}$