Expressing Temperature Rise in Different Units During a heating process, the temperature of a system rises by 10°C. Express this rise in temperature in K, °F, and R.

Question

Accepted Answer

The temperature rise of a system is to be expressed in different units.
Analysis This problem deals with temperature changes, which are identical in Kelvin and Celsius scales. Then,

[latex] \Delta T( K )=\Delta T\left({ }^{\circ} C \right)=10 K [/latex]

The temperature changes in Fahrenheit and Rankine scales are also identical and are related to the changes in Celsius and Kelvin scales through Eqs.
1–11 and 1–14:

[latex]T( R )=1.8 T( K )[/latex]

[latex]T\left({ }^{\circ} F \right)=1.8 T\left({ }^{\circ} C \right)+32[/latex]

[latex]\Delta T( K )=\Delta T\left({ }^{\circ} C \right) [/latex]

[latex]\Delta T( R )=\Delta T\left({ }^{\circ} F \right)[/latex]

[latex] \Delta T( R )=1.8 \Delta T( K )=(1.8)(10)=18 R [/latex]

and

[latex] \Delta T\left({ }^{\circ} F \right)=\Delta T( R )=18^{\circ} F [/latex]

Discussion Note that the units °C and K are interchangeable when dealing with temperature differences.

Question 1.4: Expressing Temperature Rise in Different Units During a heat...

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