Q98E
Question
The label on a pressurized can of spray disinfectant warns against heating the can above \(130^\circ F\)). What are the corresponding temperatures on the Celsius and kelvin temperature scales?
Step-by-Step Solution
VerifiedThe corresponding temperatures on the Celsius and Kelvin temperatures scales are 54 ℃ and 327 K, respectively.
The equation for converting Fahrenheit into Celsius temperature is:
\({T_{{}^ \circ C}} = \frac{5}{9} \times {T_{{}^ \circ F}} - 32\)
It is given that the temperature is \(130^\circ F\)).
\(\begin{aligned}{\underline{\phantom{xx}}}{T_{{}^ \circ C}} &= \frac{5}{9} \times 130{\rm{ }}^\circ F - 32\\{\rm{ }} &= {54.44^ \circ }C\end{aligned}\)
Hence the temperature\( = {54.44^ \circ }C\)~ 54 ℃
The equation for converting Celsius into Kelvin temperature is:
\({T_K} = {T_{{}^ \circ C}} + 273.15\)
From the above step, we know that the temperature \( = {54.44^ \circ }C\).
\(\begin{aligned}{\underline{\phantom{xx}}}{T_K} &= {54.44^ \circ }C + 273.15\\{\rm{ }} &= 327.59K\end{aligned}\)
Hence the temperature \( = 327.59K\)~ 327 K