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For T50RPMKIII with 92 dB at 1mW Antilog ( ( 115 - 92 ) / 10 ) = 199 mW for T50RP MKIII to hit 115 dB SPL peak
This amp does what ~110 mW at 50 ohms? hard to tell. Keep in mind 115 dB is permanent hearing damage in 1 min territory
I'm sure your numbers add up and are fine. I'll be honest, I'm not a numbers guy, but what I do have is experience with the T50RP headphones and have a few amps with the same, less and more power than this Topping NX1s amp. From actual experience I would say this amp barely drives it.
I'm quoting others from the T50RP MK II board who also have experience with these headphones.
RojasTKD " Have you used/owned a T50RP? Yes they are 50 ohms, but use inefficient planar magnetic drivers that generally require more current to be driven to their potential and the T50RP require more power than any of my other planar headphones. Will you get audio out of an iPhone, sure. Will it have the dynamics and impact it should and is capable of, not at all. Listening right now between my NFB-11 (about 50%) and iPad Mini (at 100%) and the iPad volume is just barely loud enough to get by and I'd like several more "clicks" in volume. The bass also has far less impact. They are far from their potential from an iDevice and most android device have even weaker built in AMPs. There is more to it than just the ohms rating. Most planars have relativelylow ohms rating but are notorious for needing a good amount of power to drive. Beyerdynamics Tesla drivers can have a high 250 ohms rating but are so efficient they the are far easier to drive then you typical dynamic driver. "
TipsyMacScotchslurpen " Comparing different headphones based on their impedence only holds true if they have similar sensitivities/efficiency ratings. The problem is that a pair of headphones with an impedence of 50ohms and sensitivity of 110dB will sound twice as loud as a pair with an impedence of 50ohms and a sensitivity of 100dB. These planar magnetics have a sensitivity of only 92dB, while dynamic drivers tend to be over 105dB. If you take NwAvGuy's (the guy who created the O2 headphone amp) advice (seen here: http://nwavguy.blogspot.com/2011/02/headphone-impedance-explained.html?m=1), you should looks for headphones with an impedence of 16-32ohms AND a sensitivity of at least 100dB if you want to use them with a mobile device without an amp. I doubt a computer's motherboard integrated sound card provides significantly more power than a mobile device (there is no real information as to what the "average" integrated audio headphone jack provides, so I'm guessing based on people's comments and articles regarding headphone usage and integrated audio). These headphones (and practically all planar magnetic headphone drivers) are both higher impedence and lower sensitivity than those recommendations. That is what makes planar magnetics so hard to drive. They are not as sensitive as dynamic drivers are because of the way they are made."
If you want to learn more about power requirements NWavguy has some great posts: http://nwavguy.blogspot.com.au/2011/09/more-power.html
But seriously though; The 92dB comes from the sensitivity which is measured at 1mW. dB is a logarithmic scale, which means an increase in power of 10x increases the dB with 10. As such, you need 10mW to power them to 102dB, and 100mW to power them to 112dB. An increase of 3dB can be achieved by doubling the amount of power, which makes us end up at ~200mW. The math is correct.
The real question is: can this amp reach that far without a bunch of distortion?