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An ideal gas having density 1.7 × 10–3 g cm–3 at a pressure 1.5 × 105 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 CP and CV 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 × 105 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