Respuesta :
Answer: (a) The magnitude of its temperature change in degrees Celsius is [tex]15.1^{o}C[/tex].
(b) The magnitude of the temperature change (change in T = 15.1 K) in degrees Fahrenheit is [tex]27.2^{o}F[/tex].
Explanation:
(a) Expression for change in temperature is as follows.
[tex]|\Delta T| = |x - y|K[/tex]
= 15.1 K
= [tex]|(x - 273.15) - (y - 273.15)|^{o}C[/tex]
= [tex]|x - y|^{o}C[/tex]
= [tex]15.1^{o}C[/tex]
Therefore, the magnitude of its temperature change in degrees Celsius is [tex]15.1^{o}C[/tex].
(b) Change in temperature from Celsius to Fahrenheit is as follows.
F = 1.8C + 32
C = [tex]\frac{F - 32}{1.8}[/tex]
Since, K = C + 273
or, [tex]\Delta K = \Delta C = \frac{\Delta F}{1.8}[/tex]
[tex]\Delta F = 1.8 \Delta K[/tex]
= 1.8 (15.1)
= [tex]27.18^{o}F[/tex]
or, = [tex]27.2^{o}F[/tex]
Thus, we can conclude that the magnitude of the temperature change (change in T = 15.1 K) in degrees Fahrenheit is [tex]27.2^{o}F[/tex].
Part A: The magnitude of the change in temperature in degrees Celsius is 15.1 °C
Part B: The magnitude of the change in temperature in degrees Fahrenheit is 27.18 °F
From question,
We are to determine the change in temperature in degrees Celsius and degrees Fahrenheit
- Part A
From the given information,
The change in temperature in kelvin = 15.1 K
Let the initial temperature be x K
∴The final temperature = (x - 15.1)K
From the formula
K = 273 + °C
°C = K - 273
∴ The initial temperature in °C = (x - 273) °C
and
The final temperature in °C = (x - 15.1 - 273) °C
The change in temperature in °C = Initial temperature in °C - Final temperature in °C
∴ The change in temperature in °C = (x - 273) °C - (x - 15.1 - 273) °C
The change in temperature in °C = (x - 273 - x + 15.1 + 273 ) °C
The change in temperature in °C = 15.1 °C
Hence, the magnitude of the change in temperature in degrees Celsius is 15.1 °C
- Part B
Using the formula
°F = 1.8°C + 32
∴ Initial temperature in °F = 1.8(x - 273) + 32
Initial temperature in °F = 1.8x - 491.4 + 32 °F
and
Final temperature in °F = 1.8(x - 15.1 - 273) + 32
Final temperature in °F= 1.8x -27.18 -491.4 +32 °F
The change in temperature in °F = Initial temperature in °F - Final temperature in °F
The change in temperature in °F = 1.8x - 491.4 + 32 - (1.8x -27.18 -491.4 +32) °F
The change in temperature in °F = 1.8x -491.4 +32 -1.8x +27.18 + 491.4 -32 °F
The change in temperature in °F = 27.18 °F
Hence, the magnitude of the change in temperature in degrees Fahrenheit is 27.18 °F
Learn more here: https://brainly.com/question/18877696
