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 °f - 32 1 - 32 °c = ----------- = -------------- = 2 1.8 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 \(^{\circ}F=- 98.60\), use the formula \(^{\circ}C=\frac{^{\circ}F - 32}{1.8}\), so \(^{\circ}C=\frac{-98.60 - 32}{1.8}=\frac{-130.6}{1.8}\approx - 72.556\).

Step2: Convert °C to K

Use the formula \(K = ^{\circ}C+273.15\). Substitute \(^{\circ}C=-72.556\) into it, then \(K=-72.556 + 273.15=200.594\approx200.59\).

Answer:

E. 200.59