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Grade upto college level Thermal Physics

10which has the higher density (mass per unit volume) – dry air or humid air? Assume that both have the same temperature and pressure.
(A) Dry air (B)Humid air
(C) The densities are the same.

Profile image of Amit Saxena
11 Years agoGrade upto college level
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1 Answer

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ApprovedApproved Tutor Answer0 Years ago

To determine which has a higher density between dry air and humid air, we need to consider the composition of each. The correct answer is (A) Dry air. Let's break this down to understand why this is the case.

Understanding Air Composition

Air is primarily made up of nitrogen (about 78%), oxygen (about 21%), and small amounts of other gases like argon and carbon dioxide. When we introduce humidity, we add water vapor into the mix. Water vapor (H2O) is less dense than the other gases that make up dry air.

The Role of Water Vapor

When water vapor enters the air, it displaces some of the nitrogen and oxygen molecules. Since water vapor has a molecular weight of about 18 g/mol, while nitrogen (N2) is approximately 28 g/mol and oxygen (O2) is about 32 g/mol, the overall effect is a decrease in the average molecular weight of the air mixture. This leads to a lower density for humid air compared to dry air.

Density Comparison

To visualize this, think of a container filled with marbles of different sizes. If you replace some of the heavier marbles (like nitrogen and oxygen) with lighter ones (like water vapor), the overall weight of the container decreases, even though the volume remains the same. Thus, humid air, which contains lighter water vapor, has a lower density than dry air.

Practical Implications

This difference in density has several practical implications. For instance, humid air is less dense than dry air, which is why hot air balloons can rise: the heated air inside the balloon becomes less dense than the cooler, surrounding air. Similarly, weather patterns can be influenced by the varying densities of humid and dry air, affecting wind and precipitation.

Conclusion

In summary, when comparing dry air and humid air at the same temperature and pressure, dry air has a higher density. This is primarily due to the presence of water vapor, which is lighter than the nitrogen and oxygen it displaces. Understanding these concepts is crucial in fields like meteorology, aviation, and environmental science.