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6. air temperature in the sahara desert can reach 56.0 oc (about 134 of ). what is the speed of sound in air at that temperature?

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Final answer:

The speed of sound in the Sahara Desert at an air temperature of 56.0°C is approximately 364.6 meters per second, calculated using the temperature-dependent formula for sound speed in air.

Step-by-step explanation:

The speed of sound in air is dependent on the temperature of the air. The formula for the speed of sound in air as a function of temperature is:



\(v = v_0 + (0.6 \times T)\)



where:



  • v is the speed of sound in air at temperature T
  • v_0 is the speed of sound in air at 0°C, which is 331 m/s
  • T is the air temperature in degrees Celsius



For the Sahara Desert with an air temperature of 56.0°C, we can calculate the speed of sound:



\(v = 331 + (0.6 \times 56)\)



\(v = 331 + 33.6\)



\(v = 364.6 \, \text{m/s}\)



Therefore, the speed of sound in the Sahara Desert at 56.0°C is approximately 364.6 meters per second.

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