**Core Concept:**
Alveolar ventilation is the exchange of gases between the air in the lungs and the bloodstream, which is crucial for maintaining adequate oxygenation and carbon dioxide removal in the body. Respiratory rate and tidal volume are two key parameters that determine alveolar ventilation.

**Why the Correct Answer is Right:**
To calculate alveolar ventilation, we use the formula:
Alveolar ventilation (Va) = Respiratory Rate (RR) x Tidal Volume (TV)

In this case, the respiratory rate is 12 breaths per minute (RR = 12) and the tidal volume is 500 milliliters (TV = 500 mL). By substituting these values into the formula, we can find the alveolar ventilation:

Va = 12 breaths/min x 500 mL = 6,000 mL/min

**Why Each Wrong Option is Incorrect:**
A. This option is incorrect because it does not consider the actual values given in the question.
B. This option is also incorrect because it does not account for the actual respiratory rate and tidal volume provided.
C. This option is wrong because it does not utilize the correct values for respiratory rate and tidal volume.
D. This option is incorrect because it does not utilize the correct values for respiratory rate and tidal volume, leading to an inaccurate result.

**Clinical Pearl / High-Yield Fact:**
In clinical practice, understanding respiratory rate, tidal volume, and alveolar ventilation is essential for assessing a patient's respiratory status and making appropriate diagnoses and treatment decisions. A normal respiratory rate in adults is typically between 12 and 20 breaths per minute, while tidal volume varies between 450-800 mL per breath depending on the individual's body size and lung capacity. In this question, we calculated the correct alveolar ventilation rate for this patient, which indicates the efficiency of gas exchange in the lungs.

**Correct Answer:**
Given the respiratory rate of 12 breaths per minute and tidal volume of 500 mL, the alveolar ventilation (Va) can be calculated as follows:

Correct Answer: Va = 12 breaths/min x 500 mL = 6,000 mL/min

Therefore, the patient's alveolar ventilation is 6,000 mL per minute.