The density of a gas is 1.775kgm³ at 29°c and 10⁵N/m² pressure, its specific heat capacity at constant pressure is 856J/kg/K. Determine the ratio of its specific heat at constant pressure to that at constant volume?


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Question Number 204885 by Tawa11 last updated on 29/Feb/24

The density of a gas is 1.775kgm³ at 29°c and 10⁵N/m² pressure, its specific heat capacity at constant pressure is 856J/kg/K. Determine the ratio of its specific heat at constant pressure to that at constant volume?
	Answered by mahdipoor last updated on 29/Feb/24

	$f o r i d e a l g a s :$ $P V = m R T \Rightarrow R = \frac{P}{T} \times \frac{V}{m} = \frac{P}{T ρ} & c_{p} = c_{v} + R$ $k = \frac{c_{p}}{c_{v}} = 1 + \frac{P}{T ρ c_{v}} = 1 + \frac{10^{5}}{(29 + 273) (1.775) (856)}$ $= 1.218$
	Commented by Tawa11 last updated on 29/Feb/24

	$Thanks sir .$ $I really appreciate .$
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