Suppose that a new temperature scale has been devised on which the melting point of ethanol (-117.3â°c and the boiling point of ethanol (78.3â°c) are taken as oos and 100â°s, respectively, where s is the symbol for the new temperature scale. derive an equation relating a reading on this scale to a reading on the celsius scale. what would this thermometer read at 25â°c?

See explanation below

Explanation:

In this case, let's form the equation into something similar to the known equations of temperature, for example:

°F = 9/5°C + 32 (1)

°K = °C + 273 (2)

As you can see, in both equations we need to add something to the celsius grade. We cannot use the equation of °K because if you make the difference between the new scale and the °C for both melting and boiling points, the result do not match. Let's suppose we say that

°S = °C + 117.3 °C

When you apply this formula to the boiling point, the result is not matching the given point of 100, so, let's put it as the equation of Farenheit:

°S = x°C + y (3)

Where "x" and "y" will be the numbers that will be added to the °C to convert it to the new scale of S.

We apply this formula to both melting and boiling point, and solve for x and y:

For melting:

0 = -117.3x + y

y = 117.3x (4)

Now, for boiling, we replace (4):

100 = 78.3x + y

100 = 78.3x + 117.3x

100 = 195.6x

x = 100/195.6

x = 0.5112

Now, let's replace this value to get "y":

y = 117.3 * 0.5112

y = 59.97 and we can round it to 60

Now, let's confirm this data match the given data (or really near):

°S = 0.5112 * (-117.3) + 60

°S = -59.97 + 60

°S = 0.03 °C

This result match the given m.p. of ethanol in the new scale (Remember that we round the value of y to a round number)

Therefore the new equation would be:

°S = 0.5112°C + 60

Now, 25°C in the new scale would be:

°S = 0.5112*25 + 60

°S = 72.78 °S

the term hydride is commonly named after binary compounds that hydrogen forms with other elements of the periodic table. hydride compounds in general form with almost any element, except a few noble gases. the trends and properties vary according to the type of intermolecular force that bonds the elements together, the temperature, its molecular masses, and other components. hydrides are classified into three major groups, depending on what elements the hydrogen bonds to. the three major groups are covalent, ionic, and metallic hydrides. formally, hydride is known as the negative ion of a hydrogen, h-, also called a hydride ion. because of this negative charge, hydrides have reducing, or basic properties. its special characteristics will be further discussed.

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