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Chapter 10: Problem 22

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

Expert verified
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

01

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.
02

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.
03

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..

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Most popular questions from this chapter

The upper surface of a cube of gelatin, \(5.0 \mathrm{cm}\) on a side, is displaced \(0.64 \mathrm{cm}\) by a tangential force. If the shear modulus of the gelatin is \(940 \mathrm{Pa},\) what is the magnitude of the tangential force?
A steel piano wire \(\left(Y=2.0 \times 10^{11} \mathrm{Pa}\right)\) has a diameter of \(0.80 \mathrm{mm} .\) At one end it is wrapped around a tuning pin of diameter \(8.0 \mathrm{mm}\). The length of the wire (not including the wire wrapped around the tuning pin) is \(66 \mathrm{cm}\). Initially, the tension in the wire is \(381 \mathrm{N}\). To tune the wire, the tension must be increased to \(402 \mathrm{N}\). Through what angle must the tuning pin be turned?
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The period of oscillation of a spring-and-mass system is \(0.50 \mathrm{s}\) and the amplitude is \(5.0 \mathrm{cm} .\) What is the magnitude of the acceleration at the point of maximum extension of the spring?
A pendulum of length \(L_{1}\) has a period \(T_{1}=0.950 \mathrm{s}\). The length of the pendulum is adjusted to a new value \(L_{2}\) such that $T_{2}=1.00 \mathrm{s} .\( What is the ratio \)L_{2} / L_{1} ?$
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