The might of balloon · Estonian PhO 2013 #4

Physics · ideal gases

Problem

A balloon filled with helium can lift a weight with a mass up to 100 kg on Earth. What is the mass of the weight that an identical balloon can lift on Mars (the mass of the balloon is included in the mass of the weight)? The volume of the weight is negligible. The air density on Earth is ρ0=\SI1.2\kilogram\per\meter3\rho_0=\SI{1.2}{\kilogram\per\meter^3}, air pressure on Earth p0=\SI100\kilo\pascalp_0=\SI{100}{\kilo\pascal}, air temperature on T0=\SI20\degreeCelsiusT_0=\SI{20}{\degreeCelsius}, “air” density on Mars is ρ1=\SI0.015\kilogram\per\meter3\rho_1=\SI{0.015}{\kilogram\per\meter^3}, “air” pressure on Mars p1=\SI600\pascalp_1=\SI{600}{\pascal}, “air” temperature on Mars T1=\SI−60\degreeCelsiusT_1=\SI{-60}{\degreeCelsius}. The molar mass of helium is μ=\SI4.0\gram\per\mole\mu=\SI{4.0}{\gram\per\mole}, universal gas constant is R=\SI8.3\joule\per\kelvin\per\moleR=\SI{8.3}{\joule\per\kelvin\per\mole}.

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