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31. what is absolute zero on the fahrenheit scale? a. $0\\ ^{circ}\\tex…

Question

  1. what is absolute zero on the fahrenheit scale?

a. $0\\ ^{circ}\text{f}$
b. $32\\ ^{circ}\text{f}$
c. $-273.15\\ ^{circ}\text{f}$
d. $-459.67\\ ^{circ}\text{f}$

Explanation:

Step1: Recall absolute zero in Celsius

Absolute zero is $-273.15^\circ\text{C}$

Step2: Use Celsius to Fahrenheit formula

The conversion formula is $F = \frac{9}{5}C + 32$
Substitute $C=-273.15$:
$F = \frac{9}{5}(-273.15) + 32$

Step3: Calculate the value

First compute $\frac{9}{5}(-273.15) = -491.67$
Then add 32: $-491.67 + 32 = -459.67$

Answer:

d. $-459.67\ ^\circ\text{F}$