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A spirometer is a machine used to assess lung volume by measuring how much air is inhaled and exhaled.  If a spirometer measures a patient's lung volume to be 500 mL at an ambient temperature of 293 K, what is the actual lung volume of the patient?  (Note:  Assume a constant pressure of 1 atm and a body temperature of 310 K.)A.The actual lung volume is greater than 500 mL because of Charles's law.B.The actual lung volume is less than 500 mL because of Boyle's law.C.The actual lung volume is equal to 500 mL because of Charles's law.D.The actual lung volume is greater than 500 mL because of Boyle's law.

Question

A spirometer is a machine used to assess lung volume by measuring how much air is inhaled and exhaled.  If a spirometer measures a patient's lung volume to be 500 mL at an ambient temperature of 293 K, what is the actual lung volume of the patient?  (Note:  Assume a constant pressure of 1 atm and a body temperature of 310 K.)A.The actual lung volume is greater than 500 mL because of Charles's law.B.The actual lung volume is less than 500 mL because of Boyle's law.C.The actual lung volume is equal to 500 mL because of Charles's law.D.The actual lung volume is greater than 500 mL because of Boyle's law.

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Solution

The answer is A. The actual lung volume is greater than 500 mL because of Charles's law.

Here's the step-by-step explanation:

Charles's Law states that the volume of a gas is directly proportional to its temperature, provided that the pressure and the amount of gas remain constant. This means that as the temperature increases, the volume of the gas also increases, and vice versa.

In this case, the spirometer measures the lung volume at an ambient temperature of 293 K. However, the body temperature is 310 K, which is higher than the ambient temperature.

Therefore, according to Charles's Law, the actual lung volume at the body temperature of 310 K would be greater than the measured volume of 500 mL at the ambient temperature of 293 K.

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