Chapter 3, Problem 1QP

To determine

The conversion of $68°\text{F}$ temperature into Celsius and Kelvin.

Answer to Problem 1QP

The value of $68°\text{F}$ temperature in Celsius is $20°\text{C}$ and in Kelvin is $293.15\text{K}$.

Explanation of Solution

Temperature is defined as the average kinetic energy of the fundamental components of a system. It does not depend on the quantity of the substance. It is measured in Celsius, Kelvin, and Fahrenheit.

The expression for the conversion of Fahrenheit into Celsius,

    $T_{°C}=\frac{5}{9}\times \left(F-32\right)$        (1)

The expression for the conversion of Fahrenheit into Kelvin,

    $T_K=\frac{5}{9}\times \left(F+459.67\right)$        (2)

Substitute the values in equation (1)

    $\begin{array}{l}{T}_{°C}=\frac{5}{9}\times \left(68-32\right)\\ T_{°C}=20°\text{C}\end{array}$

Substitute the values in equation (2)

    $\begin{array}{l}{T}_K=\frac{5}{9}\times \left(68+459.67\right)\\ T_K=293.15\text{K}\end{array}$

Thus, the conversion of $68°\text{F}$ temperature into Celsius and Kelvin is $20°\text{C}$ and $293.15\text{K}$.