Explain this in detailPressure affests velocity of sound for a perfect gas the general equation isPv-nRT implies P-nM-v-RT-M implies P - rho-RT-m- or P- rho-RT-m where If the temperature of gas is kept constant P- rho- remains constant

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Standard XII

Physics

Revisiting Standing Waves

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Question

Explain this in detail
Pressure affests velocity of sound for a perfect gas the general equation is
Pv=nRT implies P=(nM/v)*RT/M implies P =(ρRT/m) or P/ρ=RT/m where If the temperature of gas is kept constant P/ρ remains constant

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Solution

At low temperature and high pressure , the intermolecular attractions become
appreciable. So, the volume occupied by the gas molecules cannot be neglected in
comparison to the volume of the gas.
P =(ρRT/m)
The average K.E. of a gas molecule depends only on the absolute temperature of
the gas and is directly proportional to it.
When a gas is heated, the root mean square velocity of its molecules
increases. As V_rms=(T)^1/2 so temperature of the gas increases.

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Explain this in detailPressure affests velocity of sound for a perfect gas the general equation isPv=nRT implies P=(nM/v)*RT/M implies P =(ρRT/m) or P/ρ=RT/m where If the temperature of gas is kept constant P/ρ remains constant

Explain this in detail
Pressure affests velocity of sound for a perfect gas the general equation is
Pv=nRT implies P=(nM/v)*RT/M implies P =(ρRT/m) or P/ρ=RT/m where If the temperature of gas is kept constant P/ρ remains constant