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Properties of Water. Refer to the illustration below. Use the temperature formula from this section to find the boiling point of water in degrees Fahrenheit and the freezing point of water in degrees Celsius.
212 deg $\mathrm{F}$ and 0 deg $\mathrm{C}$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 4
Formulas
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
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for being asked to use the temperature formula to find the boiling point of water in degrees Fahrenheit in the freezing point of water and degrees Celsius. So let's start with the boy eloquent. Well, we're told that water boils at a 100 degrees Celsius and we want to convert this to Fahrenheit. Well, first, we need our formula to convert between Celsius and Fahrenheit, which is see equals five nice times. The quantity of F minus 32 where C stands for degrees Celsius and F stands board the degrees fair night. Well, because we have the degrees in Celsius, we're going to substitute 100 for sea into our equation. So we'll have 100 equals five nights, times the quantity of F minus 32. And now we simply need to solve for F. Well, if you know this, the quantity of F minus 32 is getting multiplied by the Fraction five nines. So undo this world vacation. What I'm going to do is I'm going to multiply both sides of our equation by the reciprocal which is ninth ifs. So first thing I need to dio is multiply 9/5 by 100 which will give us 180. So we have 180 equals, while on the right hand side, we have 9 50 times five nines, which is equal to one. So those fractions cancel each other out, and we're just laugh with F minus 32. Now to get up by itself, we're gonna add 32 to both sides of the equation. And 180 plus 32 is 212. So what we've found is that the boiling point of water would be 212 F. Now I'm going to go on to a new page. Now we're being asked to find the freezing point in Celsius. Well, we're told that it happens in 32 F. Well, again, we're going to use the same equation. C equals five nights, times to quantity of F minus 32. But now we know degrees and Fahrenheit, so we're going to substitute 32. And for us So we have C equals five nights times to quantity of 32 because that's how many degrees and fairly minus 32. And now we simply need to evaluate. Well, first, we'll evaluate inside our preface is well, it says 32 minus 32 which is equal to zero. So you have C equals 5/9 time zero and 59 times zero is equal to zero. So what we found is the freezing point in Celsius would be zero degrees.
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