The speed of sound v in a gas might plausibly depend on the pressure p, the density ρ, and the
volume V of the gas. Use dimensional analysis to determine the exponents x, y, and z in the
formula v = C p
x
ρ
y
V
z
, where C is a dimensionless constant. Incidentally, the mks units of
pressure are kilograms per meter per second square
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