Jupiter's moon, Io ejecting material at 1000 kg/s--just want to know if i did this right?

assuming that Jupiter's moon Io is ejecting material into Jupiter's magnetosphere, how long will it be before Io lose 10% of its mass? the mass of Io = 8.9319 * 10^22 kg 10% of this mass = 8.9319 * 10^21 kg time until 10% lost--> mass/rate---> 8.1319*10^21kg/ 1000 (kg/s) 8.319 * 10^18 s is... show more assuming that Jupiter's moon Io is ejecting material into Jupiter's magnetosphere, how long will it be before Io lose 10% of its mass?

the mass of Io = 8.9319 * 10^22 kg
10% of this mass = 8.9319 * 10^21 kg

time until 10% lost--> mass/rate---> 8.1319*10^21kg/ 1000 (kg/s)

8.319 * 10^18 s is what I get from doing this calculation

Does this seem right? This would be much longer than the time that has elapsed from the beginning of the solar system til today. Am I forgetting something??

Thanks
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