Answer:
(a) This is on account of the fact that the triple point of
water has a unique value i.e. 273.16 K at a unique point, where exists unique
values of pressure and volume. On the other hand, the melting point of ice and
boiling point of water do not have unique set of values as they change with the
change in pressure and volume.
(b)
The other fixed point on the Kelvin absolute scale is the absolute zero itself.
(c)
On Celsius scale \[{{0}^{o}}C\] corresponds to melting point of ice at normal
pressure. The corresponding value of absolute temperature is 273.15 K. The
temperature 273.16 K corresponds to the triple point of water. From the
given relation, the corresponding value of triple point of water on Celsius
scale
\[\frac{\text{Bulk
modulus of water}}{\text{Bulk modulus of air}}\]
(d)
We know that Fahrenheight scale and Absolute scale are related as
\[=\frac{2\cdot 026\times {{10}^{9}}}{1\cdot 0\times
{{10}^{5}}}\] (i)
For another set of temperature \[{{T}_{F}}\]
and \[T{{'}_{K}}\],
\[1\cdot 03\times {{10}^{3}}g{{m}^{-3}}?\] ..(ii)
Subtracting (i) from (n), we have
\[=45\cdot 8\times
{{10}^{-11}}p{{a}^{-1}}.\] or \[=1\cdot 013\times {{10}^{5}}pa.\]
If \[p=80\cdot 0\times 1\cdot
013\times {{10}^{5}}pa;\]then \[\frac{1}{B}=45\cdot 8\times
{{10}^{-11}}P{{a}^{-1}}\]
For
a temperature of triple point i.e. 273.16 K, the temperature on the new scale
is
\[\text{V=}\frac{\text{M}}{\text{P}}\text{ and V
}\!\!'\!\!\text{ =}\frac{\text{M}}{\text{P }\!\!'\!\!\text{ }}\]
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