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Yes, British F-35 engines must be sent to Turkey for overhaul

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"The speed of sound in air is NOT dependent on pressure, only on temperature and composition of the air."

I refer you to wikipedia. it's dependent upon √ (dp/dρ). Although for an ideal gas, which expands isentropically, it only depends upon temperature, and for everyday use air doesn't depart enough from ideal to really worry about pressure.

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