Question #234074

11. A Fahrenheit and a Celsius thermometer are both immersed in a fluid. a) If the two numerical readings

are identical, what is the temperature of the fluid expressed in o K and o R. b) If the Fahrenheit

temperature is numerically twice that of the Celsius reading, what is the temperature of the fluid

expressed in o K and o R?

Expert's answer

Fahrenheit and Celsius degrees can be interconverted through the formulae

a)

To have the same value;

Let °C=x, then °F=x

-4x=32*5

x

x=-40

Thus, -40°C=-40°F

°K=°C+273.15

=-40+273.15

=233.15°K

°R=°F+459.67

=-40+459.67

=419.67°R

b)

°F is twice °C

Let °C=x, °F=2x

2x=

x=32*5=160

Thus 160°C=320°F

°K=°C+273.15

=160+273.15

=433.15°K

°R=°F+459.67

=320+459.67

=779.67°R

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