Uranium-238 ( $U^{238}$ ) has three more neutrons than uranium-235 ( $U^{235}$ ). Compared to the speed of sound in a bar of $U^{235}$ , is the speed of sound in a bar of $U^{238}$ higher, lower, or the same? Explain your choice, including justification for assumptions you make.

Question

Uranium-238 ( $U^{238}$ ) has three more neutrons than uranium-235 ( $U^{235}$ ). Compared to the speed of sound in a bar of $U^{235}$ , is the speed of sound in a bar of $U^{238}$ higher, lower, or the same? Explain your choice, including justification for assumptions you make.

Accepted Answer

Speed of sound in $U^{238}$ is lower than speed of sound in $U^{235}$ because speed of sound is inversely proportional to the root of atomic mass.

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Short Answer

Uranium-238 ( $U^{238}$ ) has three more neutrons than uranium-235 ( $U^{235}$ ). Compared to the speed of sound in a bar of $U^{235}$ , is the speed of sound in a bar of $U^{238}$ higher, lower, or the same? Explain your choice, including justification for assumptions you make.

Step by Step Solution

Step 1: Given data

Step 2: Speed of sound in solid

Step 3: Comparing speed of sound in U238 to that in U235

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Uranium-238 ( U238) has three more neutrons than uranium-235 ( U235). Compared to the speed of sound in a bar of U235, is the speed of sound in a bar of U238 higher, lower, or the same? Explain your choice, including justification for assumptions you make.

Step by Step Solution

Step 1: Given data

Step 2: Speed of sound in solid

Step 3: Comparing speed of sound in U238 to that in U235

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Uranium-238 ( $U^{238}$ ) has three more neutrons than uranium-235 ( $U^{235}$ ). Compared to the speed of sound in a bar of $U^{235}$ , is the speed of sound in a bar of $U^{238}$ higher, lower, or the same? Explain your choice, including justification for assumptions you make.