An ideal gas having density 1.7 × 10^{–3} g cm^{–3} at a pressure 1.5 × 10^{5} Pa is filled in a Kundt tube. When the gas is resonated at a frequency of 3.0 kHz, nodes are formed at a separation of 6.0 cm. Calculate the molar heat capacities C_{P} and C_{V} of the gas.

**Given:**

An ideal gas having density 1.7 × 10^{–3} g cm^{–3} = 1.7 kg m^{–3} at a pressure 1.5 × 10^{5} Pa is filled in a Kundt tube.

When the gas is resonated at a frequency of 3.0 kHz, nodes are formed at a separation of 6.0 cm.

the node separation is given by which is 6.0cm. Therefore,

the frequency of the sound (f) is 3kHz

thus velocity of sound =

again,

where P is the pressure and is the density of the gas.

Thus

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