Chapter 5, Problem 13STP

Interpretation Introduction

Interpretation:

An equation for the conversion of temperature at $\text{180}\text{s}$ from degree Celsius to Kelvin and then Celsius to degree Fahrenheit needs to be written.

Temperature of water with heating
Time (s)	Temperature (ºC)
0	16.3
30	19.7
60	24.2
90	27.8
120	32.0
150	35.3
180	39.6
210	43.3
240	48.1

Concept introduction:

Kelvin is the SI unit of temperature. Temperature on the Celsius scale can be easily converted to Kelvin scale using the following equation.

$\text{K}=°\text{C}+273$

To convert the degrees Celsius $\left(°\text{C}\right)$ to degree Fahrenheit $\left(\text{°F}\right)$, use the following equation as:

$°\text{F}=\frac{9}{5}°\text{C}+32$

Here, K represents the temperature in Kelvin, $°\text{C}$ represents the temperature in degree Celsius and $\text{°F}$ represents temperature in degree Fahrenheit.

Answer to Problem 13STP

Temperature at $\text{180}\text{s}$ in degree Celsius to Kelvin and then Celsius to degree Fahrenheit can be calculated as:

$\text{K}=°\text{C}+273$

To convert the degrees Celsius $\left(°\text{C}\right)$ to degree Fahrenheit $\left(\text{°F}\right)$, use the following equation as:

$°\text{F}=\frac{9}{5}°\text{C}+32$

The temperature at $\text{180}\text{s}$ in Kelvin is $312.75\text{K}$ and in Fahrenheit is $103.28°\text{F}$.

Explanation of Solution

Kelvin is the SI unit of temperature. Temperature on the Celsius scale can be easily converted to Kelvin scale using the following equation.

$\text{K}=°\text{C}+273$

To convert the degrees Celsius $\left(°\text{C}\right)$ to degree Fahrenheit $\left(\text{°F}\right)$, use the following equation as:

$°\text{F}=\frac{9}{5}°\text{C}+32$

Here, K represents the temperature in Kelvin, $°\text{C}$ represents the temperature in degree Celsius and $\text{°F}$ represents temperature in degree Fahrenheit.

The temperature at $\text{180}\text{s}$ is $39.6°\text{C}$. First, calculate the temperature in Kelvin as:

$\begin{array}{c}\text{K}=°\text{C}+273\\ =39.6+273\\ =312.75\text{K}\end{array}$

Hence, the temperature in Kelvin is $312.75\text{K}$. Now, calculate the temperature in Fahrenheit as:

$\begin{array}{c}°\text{F}=\frac{9}{5}°\text{C}+32\\ =\left(\frac{9}{5}\times 39.6\right)+32\\ =103.28°\text{F}\end{array}$

Hence, he temperature in Fahrenheit is $103.28°\text{F}$.

Conclusion

Temperature at $\text{180}\text{s}$ in degree Celsius to Kelvin and then Celsius to degree Fahrenheit can be calculated as:

$\text{K}=°\text{C}+273$

To convert the degrees Celsius $\left(°\text{C}\right)$ to degree Fahrenheit $\left(\text{°F}\right)$, use the following equation as:

$°\text{F}=\frac{9}{5}°\text{C}+32$

The temperature at $\text{180}\text{s}$ in Kelvin is $312.75\text{K}$ and in Fahrenheit is $103.28°\text{F}$.