choose the correct equation to convert from degrees fahrenheit to kelvin.\n$t_{k}=leftleft(\frac{5^{circ}c}{9…

choose the correct equation to convert from degrees fahrenheit to kelvin.\n$t_{k}=leftleft(\frac{5^{circ}c}{9^{circ}f}\right)left(t_{f}+32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)+273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$\n$t_{k}=leftleft(\frac{9^{circ}c}{5^{circ}f}\right)left(t_{f}-32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)+273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$\n$t_{k}=leftleft(\frac{5^{circ}c}{9^{circ}f}\right)left(t_{f}-32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)-273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$\n$t_{k}=leftleft(\frac{5^{circ}c}{9^{circ}f}\right)left(t_{f}-32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)+273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$

choose the correct equation to convert from degrees fahrenheit to kelvin.\n$t_{k}=leftleft(\frac{5^{circ}c}{9^{circ}f}\right)left(t_{f}+32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)+273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$\n$t_{k}=leftleft(\frac{9^{circ}c}{5^{circ}f}\right)left(t_{f}-32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)+273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$\n$t_{k}=leftleft(\frac{5^{circ}c}{9^{circ}f}\right)left(t_{f}-32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)-273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$\n$t_{k}=leftleft(\frac{5^{circ}c}{9^{circ}f}\right)left(t_{f}-32^{circ}f\right)\rightleft(\frac{1k}{1^{circ}c}\right)+273^{circ}cleft(\frac{1k}{1^{circ}c}\right)$

Answer

Explanation:

Step1: Recall conversion formulas

The formula to convert from Fahrenheit ($T_F$) to Celsius ($T_C$) is $T_C=\frac{5}{9}(T_F - 32)$. And the formula to convert from Celsius to Kelvin ($T_K$) is $T_K=T_C + 273$.

Step2: Substitute Celsius - Fahrenheit formula into Celsius - Kelvin formula

Substitute $T_C$ in the second formula with $\frac{5}{9}(T_F - 32)$. So $T_K=\frac{5}{9}(T_F - 32)\times\frac{1K}{1^{\circ}C}+273^{\circ}C\times\frac{1K}{1^{\circ}C}$.

Answer:

$T_K = \left[\left(\frac{5^{\circ}C}{9^{\circ}F}\right)\left(T_F - 32^{\circ}F\right)\right]\left(\frac{1K}{1^{\circ}C}\right)+273^{\circ}C\left(\frac{1K}{1^{\circ}C}\right)$ (the last option)