When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the rail and the other travels through the air. The two pulses are detected at 20.0 milliseconds apart. The speed of sound in aluminum is 6.42×10^3 m/s. (a) Determine the length of the rail. (b) If the air temperature increases to +45.0°C, determine the separation in time between the arrivals of the two pulses.
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