Q96E - Chemistry (OpenStax)

Question

Convert the temperature of dry ice, \( - 77{\rm{ }}^\circ C,\) into degrees Fahrenheit and kelvin.

Step-by-Step Solution

Answer

The temperature of dry ice \( - 77^\circ C,\) in degrees Fahrenheit and Kelvin are -107  and 196 K, respectively.

Step 1: Determine the temperature of dry ice 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 dry ice is \( - 77^\circ C\).

\(\begin{aligned}{\underline{\phantom{xx}}}{T_K} &=  - {77^ \circ }C + 273.15\\{\rm{    }} &= 196.15K\end{aligned}\)

Hence the temperature of dry ice \( = 196.15K\)~ 196 K

Step 2: Determine the temperature of dry ice 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 dry ice is \( - 77^\circ C\).

\(\begin{aligned}{\underline{\phantom{xx}}}{T_{{}^ \circ F}} & = \frac{9}{5} \times  - 77{\rm{ }}^\circ C + 32\\{\rm{     }} & =  - {106.6^ \circ }F\end{aligned}\)

Hence the temperature of dry ice is ~ -107 .