A liquid solution containing $0\mathrm{.}9$ kmol H$2$SO$4$ and $6\mathrm{.}8$ kmol H$20$ at $311\mathrm{.}15$ K $(38$C$)$ absorbs $0\mathrm{.}45$ kmol of S$03($g$),$ also at $311\mathrm{.}15$ K $(38$ deg $*$ C$)$ forming a more concentrated sulfuric acid solution. If the process occurs isothermally, determine the heat transferred. Data: AH$/$SO$-395720$ J$/$mol; AHfH,O$-285830$ J$/$mol; Delta$*$Hf$*$H$\_\{2\}*$S$*$O$\_\{4\}=-813989$ J$/$mol and Refer H$-$x diagram for H$2$S$04/$H$20$ for the required data.

$10/14$

$700$

$600$

$400$

$100$

Vapor

$200$

Bolling Ine

$100$

$0$

$-100$

SOLID

$-200$

SOLO

$-300$

$400$

$-500$

$10$

$20$

$30$

$50$

$00$

$100$

mass$50$

Fig: Hx diagram for H$2$S$04/$H$20$