Question

which of the following temperatures is the lowest? A.100CB.100FC.100K D. they are all the same

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Jul 31,2024

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Tutor-Verified Answer

Answer

C

Solution

UpStudy Free Solution:

 

To determine which temperature is the lowest, we need to convert all the given temperatures to the same unit. Let's convert them all to degrees Celsius (\(^ \circ \text { C} \)):

 

1. \(100  ^ \circ \text { C} \) is already in Celsius.

 

2. \(100  ^ \circ \text { F} \) can be converted to Celsius using the formula:

\[T( ^ \circ \text { C} ) = \frac { 5} { 9} ( T( ^ \circ \text { F} ) - 32) \]

So,

\[100 ^ \circ \text { F} = \frac { 5} { 9} ( 100 - 32) = \frac { 5} { 9} \times 68 \approx 37.78 ^ \circ \text { C} \]

 

3. \(100 \space \text { K} \) can be converted to Celsius using the formula:

\[T( ^ \circ \text { C} ) = T( \text { K} ) - 273.15\]

So,

\[100  \text { K} = 100 - 273.15 = - 173.15  ^ \circ \text { C} \]

 

Now we have the temperatures in Celsius:

\(100  ^ \circ \text { C} \)

\(37.78  ^ \circ \text { C} \)

\(- 173.15 ^ \circ \text { C} \)

 

Clearly, \(- 173.15  ^ \circ \text { C} \) is the lowest temperature.

 

Therefore, the correct answer is:

C. \(100 \space \text { K} \)

 

Supplemental Knowledge

 

Understanding temperature conversion is essential in various scientific fields, including physics and chemistry. Here’s a deeper dive into the topic:

 

- Temperature Scales:

- Celsius (\(^ \circ \text { C} \)): A scale where water freezes at \(0^ \circ \text { C} \) and boils at \(100^ \circ \text { C} \) under standard atmospheric conditions.

- Fahrenheit (\(^ \circ \text { F} \)): A scale where water freezes at \(32^ \circ \text { F} \) and boils at \(212^ \circ \text { F} \).

- Kelvin (K): An absolute temperature scale starting from absolute zero, the theoretical point where all molecular motion stops. Water freezes at \(273.15 \space \text { K} \) and boils at \(373.15 \space \text { K} \).

 

- Conversion Formulas:

- From Fahrenheit to Celsius:

\[T( ^ \circ \text { C} ) = \frac { 5} { 9} ( T( ^ \circ \text { F} ) - 32) \]

- From Kelvin to Celsius:

\[T( ^ \circ \text { C} ) = T( \text { K} ) - 273.15\]

 

- Example Calculations:

- Converting \(100^ \circ \) Fahrenheit to Celsius:

\[T( ^ \circ \text { C} ) = \frac { 5} { 9} ( 100 - 32) = 37.78^ \circ \text { C} \]

- Converting \(100\space K\) to Celsius:

\[T( ^ \circ \text { C} ) = 100\space K - 273.15 = - 173.15^ \circ \text { C} \]

 

These conversions help in comparing temperatures across different scales accurately.

 

Mastering temperature conversions is just one of the many skills UpStudy can help develop! No matter if it's complex thermodynamics issues or exploring unfamiliar scientific concepts, UpStudy's AI Homework Help app delivers tailored and accurate solutions tailored specifically for you!
UpStudy serves millions of learners from disciplines including mathematics, chemistry, physics and biology. If you need assistance solving tricky word problems or calculations - reach out to one of UpStudy's elite tutors anytime online to receive personalized assistance!

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