Answer

Verified

448.2k+ views

**Hint:**We used a formula to relate the temperatures of Fahrenheit scale to that of the absolute scale. We can consider two different sets of temperatures that provide us with two equations. On solving for the difference in temperatures for the Fahrenheit scale, we get the required triple point of water.

**Complete step by step answer:**

Let us consider ${{T}_{f}}$ to be the temperature of water in Fahrenheit scale and ${{T}_{K}}$ to be the temperature on the absolute scale.

We can relate both the scales together by

$\dfrac{({{T}_{f}}-32)}{180}=\dfrac{({{T}_{K}}-273.15)}{100}$ …...................... (1)

Let us consider ${{T}_{f1}}$ to be the temperature of water in Fahrenheit scale and ${{T}_{K1}}$ to be the temperature on the absolute scale.

We can relate both the scales together by

$\dfrac{({{T}_{f1}}-32)}{180}=\dfrac{({{T}_{K1}}-273.15)}{100}$……………… (2)

From the question we can concur that

${{T}_{K1}}-{{T}_{K}}=1$K

On Subtracting equation 1 from equation 2 we get

$\dfrac{({{T}_{f1}}-{{T}_{f}})}{180}=\dfrac{({{T}_{K1}}-{{T}_{K}})}{100}$

$\Rightarrow \dfrac{({{T}_{f1}}-{{T}_{f}})}{180}=\dfrac{1}{100}$

$\Rightarrow ({{T}_{f1}}-{{T}_{f}})=\dfrac{9}{5}$

We know that the triple point of water is 273.16K

Thus the triple point of water on absolute scale $=273.16\times \dfrac{9}{5}=491.69$

**Note:**

We need to analyze the requirement and the data that the question provides. In thermodynamics, the triple point of a substance is the temperature and pressure at which the three phases of that substance i.e., solid, liquid and gas coexist in thermodynamic equilibrium. In the phase diagram, the point where the sublimation curve, fusion curve and the vaporization curve meet, its temperature and pressure is known as the triple point. For example, the triple point of mercury occurs at a pressure of 0.2 mPa and the temperature of −38.83440$^{\circ }C$.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Choose the antonym of the word given below Furious class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE