Question

If $500ml$ of a gas $A$ at $1000$ torr, and $1000ml$ of gas $B$ at $800$ torr are placed in $2L$ container the final pressure will be -

• A. $100$ torr
• B. $650$ torr
• C. $1800$ torr
• D. $2400$ torr

Answer 1

The correct option is B $650$ torr

According to Boyle's Law (Modified)

$P_1{V}_1+P_2{V}_2+........=P_f{V}_f$

Given,

$P_1=1000;V_1=500$ $mL$

$P_2=800;V_2=1000$ $mL$

$P_f=?;V_f=2000$ $mL$

$⟹P_1{V}_1+P_2{V}_2=P_f{V}_f$

$⟹\left(1000\right)\left(500\right)+\left(800\right)\left(1000\right)=\left(P_f\right)\left(2000\right)$

$⟹\frac{1300}{2}=P_f$

$⟹P_f=650$ $torr$