Is this adapter compatible with linux mint?

Yes, this adapter is compatible with Linux Kernel 2.6.25 to 4.4.x LTS Versions only, which includes Linux Mint.

Questions & Answers: StarTech HB30C3AGEPD 3 Port USB C Hub w/ GbE & PD 2.0 - USB-C to 2 x USB-A - USB 3.0 Hub - USB Port Expander - USB Port Hub w/ GbE & Power Delivery

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StarTech HB30C3AGEPD 3 Port USB C Hub w/ GbE & PD 2.0 - USB-C to 2 x USB-A - USB 3.0 Hub - USB Port Expander - USB Port Hub w/ GbE & Power Delivery

Turn a laptop USB Type C port into 3x USB A ports (5Gbps) + 1x GbE port
Power and charge a laptop
Supports USB Power Delivery 2.0 / Couple with a laptop's USB C power adapter
Connect simultaneously to both a network and USB peripherals
3 port USB Hub (USB-C to 3x A + 1 GbE)
USB C to Ethernet hub for use w/ any USBC laptop that uses a USB-C power adapter / MacBook Pro / MacBook Air / Dell XPS 13 / HP Spectre x360 / etc.
USB 3 Hub / USB Powered Hub / USB Port Expander / Laptop USB Hub