X represents a temperature on the Fahrenheit scale. Y represents the equivalent temperaure (of X), but on the Celsius scale. Is there a value for X, such that X=Y, and if so, what is that value?
2006-12-24 15:03:48 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Physics
BONUS:
Is there a temperature whose value on the Fahrenheit scale is identical to its value on the Kelvin scale?
2006-12-24 15:14:21 · update #1
BONUS 2:
Is there are temperature whose value on the Kelvin scale is identical to its value on the Celsius scale?
2006-12-24 15:21:02 · update #2
1. T(F)=(9/5)T(C) + 32
-40 F= -40 C
2. T(F)=(9/5)[T(K) - 273.15] + 32
Let T(F) = T(K)
answer = 574.5875
574.5875 F = 574.5875 K
3. Since the celcius and kelvin scales have an algebraic addition operator between them kelvin can't catch centigrade.
2006-12-24 15:27:16 · answer #1 · answered by Som™ 6 · 3⤊ 0⤋
The quick answer is indeed -40 deg C (-40 C = -40 F)
You can indeed solve this mathematically. The conversion from Fahrenheit to Celsius is
F = (9/5)*C + 32
where F = temperature in Fahrenheit, C = temperature in Celsius
This is a linearly function, which you can draw on a graph (think of it as y = mx + b), with slope equals to 9/5 and y-intercept as 32.
Now, imagine you draw a line y = x.
The point where the two lines cross is your solution.
Solve this by substitution,
x = (9/5)x + 32
-32 = (4/5)x
x = -40
2006-12-24 23:23:02 · answer #2 · answered by richie_rich_abc 3 · 1⤊ 1⤋
You can use the equation (Y - 32) * 5/9 = X
Solve for X = Y
(Y - 32) * 5/9 = Y
(5Y - 160) = 9Y
-160 = 4Y
Y = -40.
By the way, for your bonus question, there is no place on the Kelvin scale that equals the Celsius scale. That is because K = C + 273.16.
2006-12-24 23:25:04 · answer #3 · answered by TychaBrahe 7 · 1⤊ 1⤋
Fahrenheit and Celcius scales both have -40 and the zero points are alligned too. All of the degrees on the Kelvin and Celsius scales are the same magnitude or size. 0C to 100C = 273.15K to 373.15K.
2006-12-25 00:56:42 · answer #4 · answered by sandwreckoner 4 · 0⤊ 1⤋
Hi. X=-40, Y=-40.
2006-12-24 23:18:24 · answer #5 · answered by Cirric 7 · 0⤊ 2⤋
-40 F = -40C
Concerning the bonus portion, the Kelvin scale starts at Absolute zero which equal -459.67 degree F. Therefore, the fahrenheit scale can never "catch up".
2006-12-24 23:05:22 · answer #6 · answered by bkc99xx 6 · 1⤊ 2⤋
yes, at minus 40 degrees is the same temperature in F and C.
Coincidentally, -40 is also the lowest temperature a person can distinguish. Anything colder is beyond our ability to sense.
2006-12-24 23:08:25 · answer #7 · answered by Lorenzo Steed 7 · 2⤊ 2⤋
574.5875 K = 574.5875 F degrees
No, Celsius and Kelvin are separated only by a constant so they can't be equal.
2006-12-24 23:23:08 · answer #8 · answered by andthendougsaid 2 · 1⤊ 3⤋
-40 degrees.
2006-12-24 23:11:51 · answer #9 · answered by Bao L 3 · 1⤊ 2⤋
Yes, there is. For explanation, look at the other answers.
2006-12-24 23:14:59 · answer #10 · answered by Morningdew 3 · 0⤊ 2⤋