Calculate the speed of sound in oxygen from the following data. The mass of 22.4 litre of oxygen at STP (T = 273 K and p = 1.0 × 10 5 N m -2 ) is 32 g, the molar heat capacity of oxygen at constant volume is C v = 2.5 R and that at constant pressure is C p = 3.5 R

Question

Philoid · Accepted Answer

Given:
Pressure of oxygen
Temperature
Mass of oxygen
Volume of oxygen

Molar heat capacity of oxygen at constant volume
Molar heat capacity of oxygen at constant pressure

Density of oxygen:

We know that:

Velocity of sound is given by:

Where, v is the speed of sound. On substituting the respective values in the above formula, we get:

⇒

Therefore, the speed of sound in oxygen is 310 m/s.

Calculate the speed of sound in oxygen from the following data. The mass of 22.4 litre of oxygen at STP (T = 273 K and p = 1.0 × 105 N m-2) is 32 g, the molar heat capacity of oxygen at constant volume is Cv = 2.5 R and that at constant pressure is Cp = 3.5 R

Calculate the speed of sound in oxygen from the following data. The mass of 22.4 litre of oxygen at STP (T = 273 K and p = 1.0 × 10⁵ N m^-2) is 32 g, the molar heat capacity of oxygen at constant volume is C_v = 2.5 R and that at constant pressure is C_p = 3.5 R