Answer
(a) $314K$, $41^{\circ}C$
(b) $3683K$, $6170^{\circ}F$
(c) $10,520^{\circ}F$, $5827^{\circ}C$
Work Step by Step
Recall our conversion formulas:
$^{\circ}C=(^{\circ}F-32) * \dfrac{5}{9}$
$^{\circ}F =( ^{\circ}C * \dfrac{9}{5})+32$
$K = {^{\circ}C}+273$
$^{\circ}C= K- 273$
$(a)$ $106^{\circ}F$
$^{\circ}C=(106^{\circ}F-32) * \dfrac{5}{9}$
$41^{\circ}C$
$K = {41^{\circ}C}+273$
$314K$
$(b)$ $3410^{\circ}C$
$K = {3410^{\circ}C}+273$
$3683K$
$^{\circ}F =( 3410^{\circ}C * \dfrac{9}{5})+32$
$6170^{\circ}F$
$(c)$ $6.1*10^3K$
$^{\circ}C= 6.1*10^3K- 273$
$5827^{\circ}C$
$^{\circ}F =( 5827^{\circ}C * \dfrac{9}{5})+32$
$10,520^{\circ}F$