The temperature on a Fahrenheit scale is 98.6° F ? What is the corresponding temperature on a kelvin scale?

Question

The temperature on a Fahrenheit scale is 98.6° F ? What is the corresponding temperature on a kelvin scale? (A) 310.2 K (B) 280.3 K (C) 420.5 K (D) 370.6 K

Tardigrade Admin · Accepted Answer

We know that, tF=32o+(9/5) tc [tf=98.6° F(. given .)] 98.6=32=(9/5) tc 493=160+9 tc 9 tc=493-160 tc=(333/9) tc=37° C So, the temperature on a Kelvin scale is =37+273=310 K or ≈ 310.2 K

Q. The temperature on a Fahrenheit scale is $98. 6^{\circ} F ?$ What is the corresponding temperature on a kelvin scale?

310.2 K

280.3 K

420.5 K

370.6 K

We know that, $t_{F} = 3 2^{o} + \frac{9}{5} t_{c}$
$[t_{f} = 98. 6^{\circ} F ($ given $)]$
$98.6 = 32 = \frac{9}{5} t_{c}$
$493 = 160 + 9 t_{c}$
$9 t_{c} = 493 - 160$
$t_{c} = \frac{333}{9}$
$t_{c} = 3 7^{\circ} C$
So, the temperature on a Kelvin scale is
$= 37 + 273 = 310 K$
or $\approx 310.2 K$

Q. The temperature on a Fahrenheit scale is 98.6∘F? What is the corresponding temperature on a kelvin scale?