#2. Assume that your new temperature scale is based on ammonia, NH3. On the Cels

Question

#2. Assume that your new temperature scale is based on ammonia, NH3. On the Celsius scale, ammonia has a melting point of -77.7?C and a boiling point of -33.4?C, but on your new scale calibrated in units of degrees ammonia, ?A, you define ammonia to melt at 0 ?A and boil at 300?A. How does your ammonia degree compare in size with a Celsius degree? How does an ammonia degree compare in size with a Fahrenheit degree? What are the melting and boiling points of water on the ammonia scale? What is normal human body temperature (98.6 ?F) on the ammonia scale?

Explanation / Answer

Let ?A=xC + y

now, 0 = x(-77.7) + y

====> y =77.7x

also, 100 = x(-33.4) + y

100 = -33.4x + 77.7x

44.3x = 100

x = 2.257

y = 175.4

i) Hence, ammonia degree compare in size with a Celsius degree

?A = 2.257 x ?C + 175.4 ---- (i)

ii) Since,

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