What is the velocity of a wave in a monoatomi | vedclass

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(D) The velocity of a sound wave in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$.For a monoatomic gas,the adiabatic index $\gamma

Vedclass · Accepted Answer

None of these

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(D) The velocity of a sound wave in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{ho}}$.For a monoatomic gas,the adiabatic index $\gamma = \frac{5}{3}$.Given: Pressure $P = 1 \, kPa = 10^3 \, Pa$,Density $ho = 2.6 \, kg/m^3$.Substituting these values into the formula:$v = \sqrt{\frac{\frac{5}{3} 	imes 10^3}{2.6}}$$v = \sqrt{\frac{1666.67}{2.6}}$$v = \sqrt{641.02} \approx 25.3 \, m/s$.Since $25.3 \, m/s$ is not among the options $A$,$B$,or $C$,the correct option is $D$.

What is the velocity of a wave in a monoatomic gas having a pressure of $1 \, kPa$ and a density of $2.6 \, kg/m^3$?

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