Question

Convert 60 degree fahrenheit into celsius and kelvin

Answer 1

The temperature in Celsius is $\frac{140}{9}^{\circ}C$ (approximately $15.56^{\circ}C$).

The temperature in Kelvin is $\frac{259835}{900} K$ (approximately $288.71 K$).

Answer 2

Explanation of the solution:

Convert the temperature from Fahrenheit to Celsius using the formula $T_{(^{\circ}C)} = (T_{(^{\circ}F)} - 32) \times \frac{5}{9}$.

Substitute the given Fahrenheit temperature $T_{(^{\circ}F)} = 60^{\circ}F$.

$T_{(^{\circ}C)} = (60 - 32) \times \frac{5}{9} = 28 \times \frac{5}{9} = \frac{140}{9}^{\circ}C$.

Convert the temperature from Celsius to Kelvin using the formula $T_{(K)} = T_{(^{\circ}C)} + 273.15$.

Substitute the calculated Celsius temperature $T_{(^{\circ}C)} = \frac{140}{9}^{\circ}C$.

$T_{(K)} = \frac{140}{9} + 273.15 = \frac{140}{9} + \frac{27315}{100} = \frac{14000 + 245835}{900} = \frac{259835}{900} K$.

The approximate values are $T_{(^{\circ}C)} \approx 15.556^{\circ}C$ and $T_{(K)} \approx 288.706 K$.