Passage 7: Sound
Sound is critically important in marine ecosystems as a method of communication
for animals, submarines, and other technological instruments. Researchers
conducted an experiment to study sound waves in various aquatic contexts, with a
special focus on the speed of sound across varying media.
A speaker emitting high-frequency sound was utilized to generate sound waves at
a fixed frequency. Hydrophones, strategically placed at varying distances from the
radio, measured sound intensity and speed in freshwater, salt water, and air.
The first phase of experimental data collection involved measuring the speed of
sound in these three media at the same temperature. Results showed that there
was a significant difference between all three, with the most significant difference
between either water medium and air. Next, researchers varied the temperature
and salinity of the water in the tanks, measuring the speed of sound at regular
increments.
They also used ultrasound waves to map the seafloor, detecting obstacles. Findings
are tabulated in Table 1:
Attenuation in signal intensity was attributed to absorption and scattering of waves
in the water (as signal intensity decreased with increasing depth). Background noise
in the water column affected the precision of the measurements; regions with high
biological activity reduced measurement accuracy.
D-glucose is dissolved in water and undergoes mutarotation, a process in
which it interconverts between its alpha and beta anomers. The solution
reaches equilibrium at 25°C, wherein the final solution is 36% alpha-D-glucose.
(The specific rotation of pure alpha-D-glucose is +112°, and that of pure betaD-glucose is +19°) What is the specific rotation of the equilibrium mixture of
D-glucose at 25°C?
A) +112°
B) +65.3°
C) +52.5°
D) +19
Correct answer: C. The specific rotation of the mixture is a weighted
average of the specific rotations of the individual anomers as a function of their
prevalence. Given that the solution is 36% alpha-D-glucose, it must also be 64%
beta-D-glucose. The overall specific rotation can be found as follows:
Specific rotation = (0.36 x +112°) + (0.64 x +19°) = +52.48°. Therefore, answer choice C
is correct.