Is Specific impulse indicative of performance as a gun propellant?

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Christofer Br
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TL;DR
Is it that what increases propellants' specific impulse makes it proportionally a more powerful gun propellant?
Black powder has specific impulse of around 80s, while rocket candy has up to 130s of specific impulse. Does that mean I could replace the propellant in a BP cartridge with 80/130 of the weight in rocket candy and obtain the same performance in an idealized gun? (as in without considering burnrate, peak pressure and pressure vs time dependence)
Or is it that what increases propellants' specific impulse isn't making it proportionally a better gun propellant?
 
on Phys.org
https://www.amazon.com/dp/0979186005/?tag=pfamazon01-20

Internal pressure of a cartridge using different propellants is usually measured in cup - copper unit of pressure
Get a reloading manual at the library and see what this means. Firearms have upper limits on pressure, which is related to the mass of bp, mass of projectile, and resulting impulse.

Propellants/explosives have a property called brisance: https://en.wikipedia.org/wiki/Brisance
Which is related to your question - it explains why TNT is not used as a propellant. There is an attached table in a link at the bottom: nitrocellulose (gun powder) is way down the list.
 
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