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Dalton's law is formulated as follows: the total pressure of a mixture of ideal gases is equal to the sum of the partial pressures of these gases. The partial pressure is the pressure of a given gas as if it alone occupied. |
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Answer» Solution :In thermodynamical EQUILIBRIUM the temperature of all the components of a MIXTURE of gases is the same. The pressure of the individual component is `p_1 = n_1 kT = N_t kT//V, p_2 = n_2 kY = N_2kT//V`, ETC. The sum of partial PRESSURES is `p_1 + p_2 + p+= (N_1 + N_2 + N_3 + …) (kT)/V` Since the total number of molecules N is the sum of THO numbers of molecules of all the components making up the mixture, `N = N_1 + N_2 + N_3 + ….` the sum of the partial pressures is equal to the pressure of the gas. : `p_1 + p_2 + p_3 +. = NkT//V = p`. |
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