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Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between TA and TB ?

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As an experienced tutor registered on UrbanPro, I'd be happy to help you with this question. Firstly, let me tell you that UrbanPro is one of the best platforms for finding online coaching and tuition services. Now, onto your question about absolute scales A and B. In thermodynamics, the triple point...
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As an experienced tutor registered on UrbanPro, I'd be happy to help you with this question. Firstly, let me tell you that UrbanPro is one of the best platforms for finding online coaching and tuition services.

Now, onto your question about absolute scales A and B. In thermodynamics, the triple point of a substance is the temperature and pressure at which the three phases (solid, liquid, and gas) coexist in equilibrium. The triple point of water is a common reference point for temperature scales.

Given that the triple point of water is defined to be 200 on scale A and 350 on scale B, we can establish a relation between the two scales.

To find this relation, we can use the concept of linear interpolation. Since both scales measure temperature, we can assume a linear relationship between them.

Let TA be the temperature on scale A and TB be the temperature on scale B. We can set up a proportion:

(TA - 0) / (200 - 0) = (TB - 0) / (350 - 0)

Solving this proportion, we can find the relation between TA and TB. Let's do the math:

(TA - 0) / 200 = (TB - 0) / 350

TA / 200 = TB / 350

Cross-multiplying, we get:

TA * 350 = TB * 200

Dividing both sides by 350:

TA = (TB * 200) / 350

So, the relation between temperature on scale A (TA) and temperature on scale B (TB) is:

TA = (2/35) * TB

This equation provides a way to convert temperatures between the two scales. If you have a temperature in scale B and want to convert it to scale A, you can use this equation. Conversely, if you have a temperature in scale A and want to convert it to scale B, you would use the inverse of this equation.

 
 
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