Concept explainers
(a) The boiling point of acetylene is −28.1°C. Below what temperature. in kelvins and degrees Fahrenheit, is acetylene a liquid?
(b) The bailing point of helium is 4 K. Below what temperature, in degrees Celsius, is helium a liquid?
(c) Human body temperature is normally 98.6°F. What is this temperature on the Celsius and Kelvin scales?
(a)

Interpretation:
The temperature in terms of Kelvin and degree Celcius at which acetylene exists as a liquid state.
Explanation of Solution
The conversion of temperature from degree Celsius to degree Fahrenheit can be done using the following relation:
T°F=95(T°C)+32 (1)
Here, T°F is the temperature in degree Fahrenheit and T°C is the temperature in degree Celsius.
The conversion of temperature from degree Celsius to Kelvin can be done using the following relation:
TK=T°C+273.15 (2)
Here, TK is the temperature in Kelvin and T°C is the temperature in degree Celsius.
The conversion of temperature from degree Fahrenheit to degree Celsius can be done using the following relation:
T°C=(T°F−32)×59 (3)
Here, T°C is the temperature in degree Celsius and T°F is the temperature in degree Fahrenheit.
The temperature ( in K ) at which the acetylene exists as a liquid can be calculated as follows:
The boiling point of acetylene is given to be −28.1 °C . Substitute, the value of T°C as −28.1 °C in the equation (2) :
TK=−28.1+273.15=245.05 K
Therefore, the temperature at which the acetylene exists as a liquid, in terms of kelvin is found to be 245.05 K .
The temperature (in °F ) at which acetylene exists as a liquid is calculated as follows:
The boiling point of acetylene is given to be −28.1 °C . Substitute, T°C as −28.1 °C in the equation (1) :
T°F=95(−28.1 °C)+32=−50.58+32=−18.58 °F
Therefore, the temperature at which the acetylene exists as a liquid, in terms of degree Fahrenheit is found to be −18.58 °F .
(b)

Interpretation:
The temperature in terms of degree Celcius below which helium exits in a liquid state.
Explanation of Solution
The temperature ( in K ) at which helium exists as a liquid can be calculated using the following relation.
T°C=TK−273.15 (4)
Here, TK is the temperature in Kelvin and T°C is the temperature in degree Celsius.
The boiling point of helium is given to be 4 K . Substitute T°K as 4 K in the equation (4) :
T°C=4 K−273.15=(−269.15 °C)
Therefore, the temperature at which helium exists as a liquid, in terms of Kelvin, is found to be −269.15 °C .
(c)

Interpretation:
The normal temperature of the human body in terms of degree Celsius and kelvin.
Explanation of Solution
The temperature (in °C ) of the human body can be calculated using the equation (3) as follows:
The normal body temperature of the human body is 98.6 °F . Substitute T°F as 98.6 °F in equation (3) :
T°C=(98.6 °F−32)×59=37 °C
Therefore, the normal temperature of the human body in degree Celsius is found to be 37 °C .
The normal body temperature (in K ) can be calculated using the following relation.
TK=(T°F−32)×59+273.15 (5)
Here, TK is the temperature in kelvin and T°F is the temperature in Fahrenheit.
The normal body temperature of the human body is 98.6 °F . Substitute T°F as 98.6 °F in equation (5) .
TK=(98.6 °F−32)×59+273.5=37 °C+273.15=310.15 K
Therefore, the normal temperature of the human body in kelvin is found to be 310.15 K .
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Chapter 1 Solutions
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