Oxygen condenses into a liquid at approximately 90 K. What temperature, in degrees Fahrenheit, does this correspond to? A) -193°F B) -265°F C) -297°F D) -217°F
Oxygen condenses into a liquid at approximately 90 K. What temperature, in degrees Fahrenheit, does this correspond to? A) -193°F B) -265°F C) -297°F D) -217°F
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![**Question 8: Temperature Conversion for Oxygen Condensation**
**Context:**
Oxygen condenses into a liquid at approximately 90 Kelvin (K). To understand this in terms of the Fahrenheit scale, we need to determine what temperature 90 K corresponds to in degrees Fahrenheit (°F).
**Question:**
At what temperature, in degrees Fahrenheit, does 90 K correspond to?
**Answer Choices:**
A) -193°F
B) -265°F
C) -297°F
D) -217°F
To solve this problem, one must convert the temperature from Kelvin to Fahrenheit using the formula:
\[ °F = \frac{9}{5}(K - 273.15) + 32 \]
By applying this formula for K = 90:
1. Subtract 273.15 from 90:
\[ 90 - 273.15 = -183.15 \]
2. Multiply the result by \(\frac{9}{5}\):
\[ \frac{9}{5} \times (-183.15) = -329.67 \]
3. Add 32 to the result:
\[ -329.67 + 32 = -297.67 \]
Thusly, when rounded, the temperature 90 K corresponds to approximately -298°F.
Therefore, the correct answer is:
C) -297°F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3997526e-7cda-40d8-9b92-5ffe558ca7d8%2Fc323d8fd-1214-4f5f-8c51-297eeb83e861%2Fyd0towk_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 8: Temperature Conversion for Oxygen Condensation**
**Context:**
Oxygen condenses into a liquid at approximately 90 Kelvin (K). To understand this in terms of the Fahrenheit scale, we need to determine what temperature 90 K corresponds to in degrees Fahrenheit (°F).
**Question:**
At what temperature, in degrees Fahrenheit, does 90 K correspond to?
**Answer Choices:**
A) -193°F
B) -265°F
C) -297°F
D) -217°F
To solve this problem, one must convert the temperature from Kelvin to Fahrenheit using the formula:
\[ °F = \frac{9}{5}(K - 273.15) + 32 \]
By applying this formula for K = 90:
1. Subtract 273.15 from 90:
\[ 90 - 273.15 = -183.15 \]
2. Multiply the result by \(\frac{9}{5}\):
\[ \frac{9}{5} \times (-183.15) = -329.67 \]
3. Add 32 to the result:
\[ -329.67 + 32 = -297.67 \]
Thusly, when rounded, the temperature 90 K corresponds to approximately -298°F.
Therefore, the correct answer is:
C) -297°F
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