Question #269149

Two thermometers in degrees Celsius and degrees Fahrenheit are both immersed in a fluid. If the reading in degrees Fahrenheit is thrice that of the degrees Celsius reading, what is the equivalent reading in degrees Rankine?


1
Expert's answer
2021-11-21T17:28:35-0500

Solution;

The relation between T(°c) and T(F) is;

Tc5=TF329\frac{T_c}{5}=\frac{T_F-32}{9}

Give the reading in Fahrenheit is thrice that of degrees;

TF=3TcT_F=3T_c

Substitute into the relation equation;

Tc5=3Tc329\frac{T_c}{5}=\frac{3T_c-32}{9}

Resolve to;

9Tc=15Tc1609T_c=15T_c-160

Tc=1606=26.66°cT_c=\frac{160}{6}=26.66°c

The relation between Rankine and Celsius is;

TR=95(Tc+273.15)T_R=\frac95(T_c+273.15)

By direct substitution;

TR=95(26.66+273.15)T_R=\frac95(26.66+273.15)

TR=539.67°RT_R=539.67°R




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