Approximately how much does a cubic foot of air at 500°F weigh?

To determine the weight of a cubic foot of air at 500°F, we need to understand how temperature impacts the density of air. As air heats up, it expands, which typically results in a decrease in its density. This means that warm air weighs less than cooler air.

The standard weight of a cubic foot of air at room temperature (approximately 68°F) is about 0.0807 lbs. However, when the temperature increases to 500°F, the density decreases significantly.

Using the ideal gas law and standard conversions, the approximate weight of air at elevated temperatures can be calculated. At 500°F, the density of air is around 0.0413 lbs per cubic foot. This value aligns with empirical data and calculations that take into account the effects of temperature on air density.

Thus, when considering the temperature of 500°F, the correct answer indicating the weight of a cubic foot of air is 0.0413 lbs, which corresponds to the option provided. Knowing this distinction about how temperature affects air density is crucial for calculations related to HVAC systems and other applications where air properties are relevant.