A temperature decrease of 25 C° is equal to a temperature decrease of
Select one:
A. 25 F°
B. 25 K
C. 30 F°
D. 298 K
E. 17 F°
Answers
TEMPERATURE
Let the original temperature be x°C
Formula for Celsius-Kelvin Conversion :-
K = 273 + x
Formula for Celsius-Fahrenheit Conversion :-
Temp. in F = (x * 9/5) + 32
ATQ,
There is a decrease of 25°C
∴ New equation for C-K Conversion is as under :-
K = 273 + (x - 25)
∴ New equation for C-F Conversion is as under :-
F = ((x-25) * 9/5) + 32
Let us now calculate the decrease :-
- Decrease in K = Actual formula - new formula
= 273 + x - (273 + (x - 25))
= 273 + x - 273 - x + 25
= 25 K
- Decrease in F = Actual Formula - New Formula
= (x * 9/5) + 32 - (((x-25) * 9/5) + 32)
= (9x/5) + 32 - (((9x-225)/5 ) + 32)
= (9x-9x+225)/5 + 32 - 32
= 225/5
= 45°F
These two are the possible values for decrease in temperature in Kelvin and Fahrenheit respectively.
As per the options given only the Kelvin value matches which Option B - 25 K
∴ Option B - 25 K is the right answer.
⇒ A temperature decrease of 25°C is equal to a temperature decrease of 25 K.
A temperature decrease of 25 C° is equal to a temperature decrease of 25 K
Explanation:
Let say initial temperature = T°C
Then F = 1.8T + 32 ° F
of K = 273 + T K
now temperature decrease of 25° C
Hence New T = T - 25 °C
=> New F = (1.8)(T - 25) + 32 ° F
New K = 273 + (T - 25) K
Decrease in F = F - New F = ( 1.8T + 32) - ( (1.8)(T - 25) + 32)
= 1.8 * 25
= 45°F
Decrease in K = K - New K = ( 273 + T ) - (273 + (T - 25) K)
= 25 K
from the given options only 25K Matches
option B is correct
Hence 25K is the right answer
A temperature decrease of 25 C° is equal to a temperature decrease of 25K
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