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Derive relation between density (d) and molar mass. |
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Answer» Solution :According to ideal gas equations, pV = nRT `therefore (p)/(RT)=(n)/(V) ""`…..(Eq. -i) but, Mole `(n) = ("MASS (m)")/("Molecular mass (M)") ""`…..(Eq. -II) Put value of `n =(m)/(M)` in equation -(i) `(p)/(RT)=((m)/(V))(1)/(M)` But, `("Mass (m)")/("Volume (V)")=` gas of density (d) Thus, `(p)/(RT)=(d)/(M) ""` ....(Eq. - iii) By the rearrangement of equation, `therefore d=(PM)/(RT)` and `M=(DRT)/(p) ""` .....(Eq. -iv) This (Eq. -iv) is indicate that molecular mass (M) is directly proportional to density (d)... |
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