Look at the rigidity modulus. Tungsten is much stiffer than gold and will ring like a bell if you tap it. I have a W block and it practically sings. My gold bar...well I don’t have one.
Bulk Modulus W 311, Au 171
Rigidity W 160, Au 26
Young’s W 411, Au 79
They are pretty different thermally, too. Au is three times more thermally conductive and will feel chillier longer if you hold it. This is why wood feels warmer than aluminum even when they are the same temperature.
Thanks for the additional information.
From Goldprice.org:
You can test the purity of gold yourself with the right test equipment. Mostly this consists of acids which you can purchase for that purpose although electronic testing is now becoming popular and electronic testers can be found with a little investigation and research and purchased. The cost of the test equipment means that you would want to test a lot of gold to warrant the cost of the equipment and along with the other factors such as safety measures, time involved etc, you would likely be better off just getting an independent jeweler or laboratory or even a Mint to test the gold for you.