Chapter 1, Problem 45E

Interpretation Introduction

(a)

Interpretation:

The boiling point of water in ^oM (new temperature scale) needs to be calculated if the melting point of mercury is 0 ^oM or − 38.9 ^oC and boiling point of mercury is 100 ^oM or 356.9 ^oC.

Concept introduction:

The conversion factor required to determine the results in different or desired scale by equivalizing different units.

The temperature of the sample at given scale degree M can be identified as follows:

$\frac{\left({\text{T}}_{\text{calculated}}\left({\text{in }}^{\text{o}}\text{M}\right){\text{– T}}_{\text{lower}}\left({\text{in }}^{\text{o}}\text{M}\right)\right)}{\left({\text{T}}_{\text{higher}}\left({\text{ in }}^{\text{o}}\text{M}\right){\text{– T}}_{\text{lower}}\left({\text{in }}^{\text{o}}\text{M}\right)\right)}\text{ = }\frac{\left({\text{T}}_{\text{calculated}}\left({\text{ in }}^{\text{o}}\text{C}\right){\text{– T}}_{\text{lower}}\left({\text{in }}^{\text{o}}\text{C}\right)\right)}{\left({\text{T}}_{\text{higher}}\left({\text{in }}^{\text{o}}\text{C}\right){\text{– T}}_{\text{lower}}\left({\text{ in }}^{\text{o}}\text{C}\right)\right)}$

Interpretation Introduction

(b)

Interpretation:

The absolute zero temperature in ${}^{\text{o}}$ M needs to be determined if melting point of mercury is 0 ${}^{\text{o}}$ M or − 38.9 ${}^{\text{o}}$ C and boiling point of mercury is 100 ${}^{\text{o}}$ M and 356.9 ${}^{\text{o}}$ C.

Concept introduction:

The conversion factor required to determine the results in different or desired scale by equivalizing different units.

The temperature of the sample at given scale degree M can be identified as follows:

$\frac{\left({\text{T}}_{\text{calculated}}\left({\text{in }}^{\text{o}}\text{M}\right){\text{– T}}_{\text{lower}}\left({\text{in }}^{\text{o}}\text{M}\right)\right)}{\left({\text{T}}_{\text{higher}}\left({\text{ in }}^{\text{o}}\text{M}\right){\text{– T}}_{\text{lower}}\left({\text{in }}^{\text{o}}\text{M}\right)\right)}\text{ = }\frac{\left({\text{T}}_{\text{calculated}}\left({\text{ in }}^{\text{o}}\text{C}\right){\text{– T}}_{\text{lower}}\left({\text{in }}^{\text{o}}\text{C}\right)\right)}{\left({\text{T}}_{\text{higher}}\left({\text{in }}^{\text{o}}\text{C}\right){\text{– T}}_{\text{lower}}\left({\text{ in }}^{\text{o}}\text{C}\right)\right)}$