Assume that your new temperature scale is based on ammonia, NH3. On the Celsius

Question

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 100?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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