Prob $9(20$ pts$)$ A manometer is attached to a container of gas to determine its pressure. Before the container is attached, both sides of the manometer are open to the atmosphere. After the container is attached, the mercury on the side attached to the gas container rises $12$ cm above its previous level.

$($a$)$ What is the gauge pressure of the gas in Pa$?$

$($b$)$ What is the absolute pressure of the gas in Pa $?$