Several different air rifles use the .177 caliber pellet. Each different model rifle can propel the pellet a different distance depending on the power plant that the rifle uses. .177 caliber pellets also come in different weights, this also has an effect on how far the pellet will travel. A PCP air rifles (PerCharged Pneumatic) that use a Scuba tank to charge them to 3000 PSI can obviously out distance a C02 charged rifle in propelling a pellet. So you can expect a pellet to travel anywhere from a few hundred feet to over a 1/4 mile with ease. Depending on the rifle used.
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