A natural gas stream contains $100$ ppm $($parts per million$)$ of sulfur compounds, primarily hydrogen sulfide $($H$2$S$).$ A desulfurization unit is designed to reduce the sulfur content to less than $1$ ppm$.$ The desulfurization process involves passing the natural gas through a bed of desulfurization catalyst.

The desulfurization unit operates at a flow rate of $10,000$ cubic meters per hour $($m$^3/$hr$)$ of natural gas. The desulfurization catalyst has an efficiency of $95\%$ in removing sulfur compounds.

Calculate the following:

A$.$ The amount of sulfur removed per hour by the desulfurization unit.

B$.$ The sulfur content of the natural gas after passing through the desulfurization unit.