a. The temperature of a system is measured to be 75 °F. Express this temperature in °C, K, and R.
b. The temperature of a system has the same numerical value when expressed in °F and °C, express that temperature in K and R.
c. The temperature of a system has a Fahrenheit reading that is numerically twice that of the Celsius reading. Express that temperature in K and R.

Respuesta :

Answer:

Explanation:

a )

75°F = (75 - 32 ) x 5 / 9 = 35°C

35 + 273 = 308 K

75⁰F = 459.67 + 75 = 534.67° R

b )

[tex]\frac{F-32}{9} = \frac{C}{5}[/tex]

F = C

[tex]\frac{F-32}{9} = \frac{F}{5}[/tex]

5F - 160 =  9F

-4F = 160

F = - 40

Rankin = - 40 + 459.67 = 419.67

kelvin = -40 + 273 = 233K

c )

[tex]\frac{F-32}{9} = \frac{C}{5}[/tex]

F = 2C

[tex]\frac{2C-32}{9} = \frac{C}{5}[/tex]

10 C - 160 = 9C

C = 160°C

F = 320°F

R = 320 + 459.67 = 779.67°R

K = 273 + 160 = 433 K .