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Chapter 21: Problem 5

If your doctor tells you that your temperature is \(310 \mathrm{~K}\), should you worry? Explain your answer.

Short Answer

Expert verified
No, you should not worry if the doctor tells you that your temperature is 310 K. After converting this temperature to Celsius, it translates to 36.85°C, which is a healthy, normal body temperature.

Step by step solution

01

Convert Kelvin to Celsius

To convert from Kelvin to Celsius, you subtract 273.15 from the Kelvin temperature. Hence, \(T(°C) = T(K) - 273.15\), so your body temperature is \(310 K - 273.15 = 36.85°C\).
02

Compare with normal body temperature

The normal body temperature for a healthy individual is approximately 37°C. By comparing the converted temperature of 36.85°C to 37°C, you can see that this temperature is within the normal range.
03

Conclusion

With a body temperature of 36.85 °C, just below the normal body temperature, you would not need to worry.

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Most popular questions from this chapter

( \(a\) ) The temperature of the surface of the Sun is about 6000 \(\mathrm{K}\). Express this on the Fahrenheit scale. (b) Express normal human body temperature, \(98.6^{\circ} \mathrm{F}\) on the Celsius scale. ( \(c\) ) In the continental United States, the lowest officially recorded temperature is \(-70^{\circ} \mathrm{F}\) at Rogers Pass, Montana. Express this on the Celsius scale. ( \(d\) ) Express the normal boiling point of oxygen, \(-183^{\circ} \mathrm{C}\), on the Fahrenheit scale. ( \(e\) ) At what Celsius temperature would you find a room to be uncomfortably warm?

The amplification or gain of a transistor amplifier may depend on the temperature. The gain for a certain amplifier at room temperature \(\left(20.0^{\circ} \mathrm{C}\right)\) is \(30.0\), whereas at \(55.0^{\circ} \mathrm{C}\) it is 35.2. What would the gain be at \(28.0^{\circ} \mathrm{C}\) if the gain depends linearly on temperature over this limited range?

An aluminum cup of \(110 \mathrm{~cm}^{3}\) capacity is filled with glycerin at \(22^{\circ} \mathrm{C}\). How much glycerin, if any, will spill out of the cup if the temperature of the cup and glycerin is raised to \(28^{\circ} \mathrm{C}\) ? (The coefficient of volume expansion of glycerin is \(5.1 \times\) \(\left.10^{-4} / \mathrm{C}^{\circ} .\right)\)

A cylinder placed in frictionless bearings is set rotating about its axis. The cylinder is then heated, without mechanical contact, until its radius is increased by \(0.18 \%\). What is the percent change in the cylinder's ( \(a\) ) angular momentum, \((b)\) angular velocity, and ( \(c\) ) rotational energy?

A resistance thermometer is a thermometer in which the electrical resistance changes with temperature. We are free to define temperatures measured by such a thermometer in kelvins (K) to be directly proportional to the resistance \(R\), measured in ohms \((\Omega) .\) A certain resistance thermometer is found to have a resistance \(R\) of \(90.35 \Omega\) when its bulb is placed in water at the triple-point temperature \((273.16 \mathrm{~K}) .\) What temperature is indicated by the thermometer if the bulb is placed in an environment such that its resistance is \(96.28 \Omega ?\)
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