A new absolute temperature scale is proposed. On thisscale the ice point of water is 150S and the steam point is300S. Determine the temperatures in Celcius that correspondto 100S and 400S, respectively. What is the ratio of the sizeof the S to the kelvin? Comments

emancipezN

emancipezN

Answered question

2021-01-25

A new absolute temperature scale is proposed. On thisscale the ice point of water is 150S and the steam point is300S. Determine the temperatures in Celcius that correspondto 100S and 400S, respectively. What is the ratio of the sizeof the S to the kelvin? Comments

Answer & Explanation

Obiajulu

Obiajulu

Skilled2021-01-26Added 98 answers

1) From this, you get T (S)=[(300150)/(1000)]×T(C)+150C=1.5T(C)+150 Hence, T=100S=33.33CT=400S=166.67CT(S)=1.5[T(K)273.15]+150

So the ratio is 1.5 S/K Hope this helps you.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-11Added 2605 answers

Given that ice point of water =150s where S is new scale of temperature We know that ice point of water= 0 C it means 0C=150S
madeleinejames20

madeleinejames20

Skilled2023-06-11Added 165 answers

To determine the temperature in Celsius that corresponds to 100S, we can set up a proportion between the two scales:
TS150300150=TC01000
Simplifying this proportion, we have:
TS150150=TC100
Cross-multiplying and rearranging the equation, we find:
TC=100150(TS150)
Now, let's determine the temperature in Celsius that corresponds to 400S. Using the same approach as above, we set up the following proportion:
TS150300150=TC04000
Simplifying this proportion:
TS150150=TC400
Cross-multiplying and rearranging the equation:
TC=400150(TS150)
To find the ratio of the size of the S to the Kelvin scale, we can compare the temperature differences in the two scales. The difference between the ice point and steam point in the proposed scale is 300S, and in the Kelvin scale, it is 100K (since the Kelvin scale uses the same size increments as the Celsius scale).
Therefore, the ratio of the size of the S to the Kelvin is:
300 S100 K=3 S1 K
In conclusion, the temperatures in Celsius that correspond to 100S and 400S, respectively, can be found using the formulas:
TC=100150(TS150)
TC=400150(TS150)
And the ratio of the size of the S to the Kelvin scale is 3 S1 K.
Nick Camelot

Nick Camelot

Skilled2023-06-11Added 164 answers

Answer:
2.7315
Explanation:
Given:
The ice point of water on the new absolute temperature scale is 150S.
The steam point of water on the new absolute temperature scale is 300S.
Now, we need to determine the temperatures in Celsius that correspond to 100S and 400S. To do this, we can use the following formula to convert from the new absolute scale (S) to Celsius (C):
C=S273.15
For 100S:
Substituting S=100 into the formula, we have:
C=100273.15
Evaluating the expression, we get:
C=173.15C
Therefore, 100S on the new absolute temperature scale corresponds to 173.15C.
For 400S:
Substituting S=400 into the formula, we have:
C=400273.15
Evaluating the expression, we get:
C=126.85C
Therefore, 400S on the new absolute temperature scale corresponds to 126.85C.
Now, let's calculate the ratio of the size of the S unit to the Kelvin unit.
On the Kelvin scale, the ice point of water is 0C, which is equivalent to 273.15 Kelvin. The steam point of water is 100C, equivalent to 373.15 Kelvin. Thus, we have the following proportion:
273.15100=x1
Solving for x, we find:
x=2.7315
Therefore, the ratio of the size of the S unit to the Kelvin unit is approximately 2.7315.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?