Question

6.
The volume of a given mass of a gas is 2000ml at 27°C and 760mm pressure.
Calculate the volume of the gas at 327°C and 1520mm pressure.​

Answer 1

${\huge{\underline{\red{Given\: :-}}}}$

${\sf{P_1\: =\: 760mm\;\; P_2\: =\: 1520mm}}$

${\sf{V_1\: =\: 2000ml\;\; V_2\: =\: ?}}$

${\sf{T_1\: =\: 27°C\: =\: 300.15K}}$

${\sf{T_2\: =\: 327°C\: =\: 600.15K}}$

${\huge{\underline{\red{Laws\: Used\: :-}}}}$

Combined Gas Laws :-

${\sf{{\dfrac{P_1\: V_1}{T_1}}\: =\: {\dfrac{P_2\: V_2}{T_2}}}}$

${\huge{\underline{\red{Answer\: :-}}}}$

${\sf{{\dfrac{760\: \times\: 2000}{300.15}}\: =\: {\dfrac{1520\: \times\:V_2}{600.15}}}}$

${\sf{\implies\: V_2\: =\: {\dfrac{760\: \times\: 2000\: \times\: 600.15}{300.15\: \times\: 1520}}}}$

${\sf{\implies\: V_2\: =\: \bold{1999.50}}}$

${\huge{\fbox{\blue{Answer\: =\: 1999.50\: ml}}}}$