Q94E - Chemistry (OpenStax)

Question

Convert the temperature of scalding water, \(54{\rm{ }}^\circ C,\) into degrees Fahrenheit and kelvin.

Step-by-Step Solution

Answer

The temperature of scalding water \(54^\circ C,\) into degrees Fahrenheit and Kelvin are 129  and 327 K, respectively.

Step 1: Determine the temperature of scalding water in Kelvin

The equation for converting Celsius into Kelvin temperature is:

\({T_K} = {T_{{}^ \circ C}} + 273.15\)

It is given that the temperature of scalding water is\(54^\circ C\).

\(\begin{aligned}{\underline{\phantom{xx}}}{T_K} &= {54^ \circ }C + 273.15\\{\rm{    }} &= 327.15K\end{aligned}\)

Hence the temperature of scalding water \( = 327.15K\)

However, we have to round this off to 3 significant figures, so the temperature will be 327 K.

Step 2: Determine the temperature of scalding water in Fahrenheit.

The equation for converting Celsius into Fahrenheit temperature is:

\({T_{{}^ \circ F}} = \frac{9}{5} \times {T_{{}^ \circ C}} + 32\)

It is given that the temperature of scalding water is\(54^\circ C\).

\(\begin{aligned}{\underline{\phantom{xx}}}{T_{{}^ \circ F}} &= \frac{9}{5} \times 54{\rm{ }}^\circ C + 32\\{\rm{     }} &= {129.2^ \circ }F\end{aligned}\)

Hence the temperature of scalding water\( = {129.2^ \circ }F\)~ 129