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.

Question

Philoid · Accepted Answer

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

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.

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 C_P and C_V of the gas.