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Derive relationb between density and pressure of gas by using of Boyle.s law. |
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Answer» Solution :Prove d = k.p : density of GAS `(d)=("mass of gass (m)")/("volume of gas (V)")` `THEREFORE V=(m)/(d) ""`….(EQ. - VI) According to Boyle.s law, `pV=k_(1)` Put `V=(m)/(d)` in `pV=k_(1)` `therefore p ((m)/(d))=k_(1) ""`.....(Eq. - vii) `therefore d=("pm")/(k_(1))` `therefore d=((m)/(k_(1)))p=k. p ""`....(Eq. - viii) where, `(m)/(k_(1))=k.` ..Equation - viii INDICATED that at (a) constanst temperature (T) pressure (p) of fixed amount (n) of any gas is directly proportional to density (d)... |
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