What will be the minimum pressure required to compress 500 $d{{m}^{3}}$ of air at 1 bar to 200 $d{{m}^{3}}$ at 30°C?

cbse
statesofmatter

#1

$p_{ 1 }$ = 1 bar, $p_{ 2 }$ = ?,
$V_{ 1 }$ = 500 $d{{m}^{3}}$,
$V_{ 2 }$ = 200 $d{{m}^{3}}$
$p_{ 1 }$ $V_{ 1 }$ = $p_{ 2 }$ $V_{ 2 }$
$p_{ 2 }$ = $p_{ 1 }$ $V_{ 1 }$ / $V_{ 2 }$
=1 bar x 500 $d{{m}^{3}}$/200 $d{{m}^{3}}$
= 2.5 bar