The speed of sound in oxygen at Standard Temperature and Pressure (STP) is approximately 330 m/s.

Here's a step-by-step explanation:

1. The speed of sound in a gas is given by the formula v = sqrt(γP/ρ), where v is the speed of sound, γ is the adiabatic index, P is the pressure, and ρ is the density.

2. For oxygen, the adiabatic index γ is approximately 1.4.

3. At STP, the pressure P is 1 atmosphere, or approximately 101325 Pa.

4. The density ρ of oxygen at STP can be calculated using the ideal gas law, PV = nRT, where n is the number of moles, R is the ideal gas constant, and T is the temperature. At STP, T is 273.15 K and P is 1 atm. The molar mass of oxygen is approximately 32 g/mol, so the density ρ is approximately 1.429 kg/m^3.

5. Substituting these values into the formula for the speed of sound, we get v = sqrt(1.4*101325/1.429) ≈ 330 m/s.

Question

The speed of sound in oxygen at Standard Temperature and Pressure (STP) is approximately 330 m/s.

Here's a step-by-step explanation:

1. The speed of sound in a gas is given by the formula v = sqrt(γP/ρ), where v is the speed of sound, γ is the adiabatic index, P is the pressure, and ρ is the density.

2. For oxygen, the adiabatic index γ is approximately 1.4.

3. At STP, the pressure P is 1 atmosphere, or approximately 101325 Pa.

4. The density ρ of oxygen at STP can be calculated using the ideal gas law, PV = nRT, where n is the number of moles, R is the ideal gas constant, and T is the temperature. At STP, T is 273.15 K and P is 1 atm. The molar mass of oxygen is approximately 32 g/mol, so the density ρ is approximately 1.429 kg/m^3.

5. Substituting these values into the formula for the speed of sound, we get v = sqrt(1.4*101325/1.429) ≈ 330 m/s.

Knowee AI · Accepted Answer

The speed of sound in oxygen at Standard Temperature and Pressure (STP) is approximately 330 m/s.

Here's a step-by-step explanation:

1. The speed of sound in a gas is given by the formula v = sqrt(γP/ρ), where v is the speed of sound, γ is the adiabatic index, P is the pressure, and ρ is the density.

2. For oxygen, the adiabatic index γ is approximately 1.4.

3. At STP, the pressure P is 1 atmosphere, or approximately 101325 Pa.

4. The density ρ of oxygen at STP can be calculated using the ideal gas law, PV = nRT, where n is the number of moles, R is the ideal gas constant, and T is the temperature. At STP, T is 273.15 K and P is 1 atm. The molar mass of oxygen is approximately 32 g/mol, so the density ρ is approximately 1.429 kg/m^3.

5. Substituting these values into the formula for the speed of sound, we get v = sqrt(1.4*101325/1.429) ≈ 330 m/s.

The speed of sound in oxygen at S.T.P. will be approximately:

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