Question

convert -98.60 °f into k. the necessary equations are °f = 1.8 °c + 32, and k = °c + 273.15
first, convert °f into °c by solving for °c
°c = (°f - 32)/1.8
then, insert the value for °c into the equation for k
k = _3_ + 273.15 = _4_
a. -98.60 b. -72.556 c. -72.56 d. -72.6
e. 200.59 f. 200.44 g. 200.4

Explanation:

Step1: Convert °F to °C

Given the formula $^{\circ}F = 1.8^{\circ}C+32$, we can solve for $^{\circ}C$ as $^{\circ}C=\frac{^{\circ}F - 32}{1.8}$. Substitute $^{\circ}F=-98.60$ into the formula: $^{\circ}C=\frac{-98.60 - 32}{1.8}=\frac{-130.6}{1.8}\approx - 72.556$.

Step2: Convert °C to K

Use the formula $K = ^{\circ}C+273.15$. Substitute $^{\circ}C\approx - 72.556$ into it: $K=-72.556 + 273.15=200.594\approx200.59$.

Answer:

E. 200.59