You have to conduct atmospheric measurements using instruments on a meteorological balloon and estimate the maximum elev

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You have to conduct atmospheric measurements using instruments
on a meteorological balloon and estimate the maximum elevation
that the balloon can rise. The balloon is filled with Helium gas
and has a spherical shape at all times during the flight. At the
ground level, atmospheric pressure is 105 Pa and temperature is 293
K. Assume that atmospheric pressure and temperature linearly
decrease 1000 Pa and 1 K, respectively, for every 100 m elevation
increase from the ground. We inflate the balloon for a diameter of
1 m and the total of instrument payload and balloon mass is 0.5 kg.
Specific constant R for air is 287 J/kg.K and for helium is 2077
J/kg.K.
Assuming that the balloon is inelastic (i.e. balloon size and
shape do not change), calculate the maximum elevation, h, (h=0 at
the ground level) that the balloon can go up?