Question

How would the volume of \(1.00 \mathrm{cm}^{3}\) of aluminum on Earth change if it were placed in a vacuum chamber and the pressure changed to that of the Moon (less than \(10^{-9} \mathrm{Pa}\) )?

Short answer

Answer: The volume of 1.00 cm³ of aluminum remains essentially the same due to its properties as a solid and the negligible effect of the pressure change from Earth to the Moon.

Step-by-step solution

Identify the properties of aluminum

Aluminum is a solid, and its volume remains relatively constant under different pressures, especially if the variationpressure is not too high.

Compare the pressures of Earth and the Moon

The atmospheric pressure on the surface of the Earth at sea level is approximately \(1.01 \times 10^5 \mathrm{Pa}\) while the pressure on the surface of the Moon is less than \(10^{-9} \mathrm{Pa}\). However, since aluminum is a solid, this change in pressure shouldn't have a significant effect on its volume.

Consider the negligible effect of pressure on the aluminum volume

Since the pressure change of going from Earth to the Moon is not sufficiently large to cause a significant impact on the volume of a solid, like aluminum, we can safely assume that the volume change will be negligible. As a result, the volume of \(1.00 \mathrm{cm}^{3}\) of aluminum on Earth will remain essentially the same when it is placed in a vacuum chamber with the pressure of the moon. #Conclusion# In summary, the volume of \(1.00 \mathrm{cm}^{3}\) of aluminum on Earth will not change significantly when placed in a vacuum chamber with the pressure of the Moon, due to the nature of aluminum as a solid and the pressure change not being large enough to have a substantial effect on the aluminum's volume..