Draw a graph showing the variation of velocity of sound in air with pressure.
Answers
graph of velocity-pressure will be straight line parallel to pressure axis as shown in figure.
velocity of sound is given as, v = √{yP/ρ}, where y is ratio of molar heat capacity at constant pressure to constant volume. i.e., y = cp/cv
P is pressure and ρ is density.
we also know, P = ρRT/M
so, if we increase the pressure, density also will be increase. as pressure and velocity are appearing in numerator denominator respectively, both will cancel each other.
so, velocity of sound doesn't depend on pressure. then the graph of velocity-pressure is straight line parallel to pressure axis.
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velocity of sound is given as, v = √{yP/ρ}, where y is ratio of molar heat capacity at constant pressure to constant volume. i.e., y = cp/cv
P is pressure and ρ is density.
we also know, P = ρRT/M
so, if we increase the pressure, density also will be increase. as pressure and velocity are appearing in numerator denominator respectively, both will cancel each other.
so, velocity of sound doesn't depend on pressure. then the graph of velocity-pressure is straight line parallel to pressure axis.