Question

question which of the following temperatures are equivalent to absolute zero (0 k)? select all that apply. select all that apply: 74.93°f -100°c -273.15°c -459.67°f

Explanation:

Step1: Recall temperature - conversion formulas

The conversion formula from Celsius to Kelvin is $K = C+ 273.15$. When $K = 0$, then $C=- 273.15$.
The conversion formula from Celsius to Fahrenheit is $F=\frac{9}{5}C + 32$. Substitute $C=-273.15$ into the formula: $F=\frac{9}{5}\times(-273.15)+32=-459.67$.

Step2: Analyze each option

• For $74.93^{\circ}F$, it is a high - positive temperature, not equivalent to absolute zero.
• For $-100^{\circ}C$, convert to Kelvin: $K=-100 + 273.15=173.15\ K$, not absolute zero.
• For $-273.15^{\circ}C$, when $C=-273.15$, $K=-273.15 + 273.15 = 0\ K$.
• For $-459.67^{\circ}F$, convert to Celsius: $C=\frac{5}{9}(F - 32)=\frac{5}{9}(-459.67 - 32)=-273.15^{\circ}C$, and then to Kelvin: $K=-273.15+273.15 = 0\ K$.

Answer:

• $\square$ $74.93^{\circ}F$
• $\square$ $-100^{\circ}C$
• $\boxed{\square}$ $-273.15^{\circ}C$
• $\boxed{\square}$ $-459.67^{\circ}F$