Thank you for visiting A Celsius and a Fahrenheit thermometer are in an oil bath The reading on the Fahrenheit thermometer is frac 3 2 times the reading on. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The temperature in Celsius is -53.33°C, in Fahrenheit is -63.99°F, and in Kelvin is 219.82 K, found by using the relationship 3/2 times the Celsius reading equals the Fahrenheit reading and converting accordingly.
The given problem states that a Celsius and Fahrenheit thermometer are in an oil bath with the Fahrenheit reading being 3/2 times the Celsius reading. The relationship between Fahrenheit (F) and Celsius (C) temperatures can be described by the equation F = (9/5) imes C + 32. In this case, since the Fahrenheit temperature is 3/2 times the Celsius temperature, we have:
3/2 imes C = (9/5) imes C + 3
Multiplying both sides by 10 to clear fractions, we get:
15C = 18C + 160
Rearranging and solving for C, we get
3C = -160
C = -160/3
C = -53.33 (to 2 decimal places)
Now that we have the Celsius temperature, we can convert it to Fahrenheit using the standard equation:
F = (9/5) imes (-53.33) + 32
F = -95.994 + 32
F = -63.994 (to 2 decimal places)
To convert the Celsius temperature to Kelvin:
K = C + 273.15
K = (-53.33) + 273.15
K = 219.82 (to 2 decimal places)
Therefore, the temperature in Celsius is -53.33°C, in Fahrenheit is -63.99°F, and in Kelvin is 219.82 K.
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