I separate the pre 1982 pennies into mason jars since they are 95% copper and the raw material is worth more than 1 cent (about 2.9 cents), the newer pennies are 97.5% zinc.
1982 pennies can be of either make up, only way to really tell the difference is the weight.
Interestingly enough, nickels with their nickel and copper content are worth more than 5 cents (about 7.8 cents) and the US mint is losing money by still making them. This is like what happened when silver was taken from circulating coins. The monetary unit became so devalued that the metal in the coin had more purchasing power then the nominal value stamped on them. It's a huge, in your face sign that the currency is constantly being devalued.
Here is a nice site to see the current value of coins:
Current Melt Value Of Coins - How Much Is Your Coin Worth?