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.
