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

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.

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(\mathrm{~K})=\Delta T\left({ }^{\circ} \mathrm{C}\right)=10 \mathrm{~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([latex]T(\mathrm{R})=1.8 T(\mathrm{~K})[/latex]) and 1-14 ([latex]\Delta T(\mathrm{R})=\Delta T\left({ }^{\circ} \mathrm{F}\right)[/latex]):

[latex]\Delta T(\mathrm{R})=1.8 \Delta T(\mathrm{~K})=(1.8)(10)=18 \mathrm{R}[/latex]

and

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

Discussion Note that the units [latex]{ }^{\circ} \mathrm{C}[/latex] and [latex]\mathrm{K}[/latex] are interchangeable when dealing with temperature differences.

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

Related Answered Questions