# How much should you take a balloon for storing 10 kg of neon at temperatures

How much should you take a balloon for storing 10 kg of neon at temperatures up to 35 degrees Celsius and a pressure of no more than 308 kPa?

Initial data: m (mass of neon) = 10 kg; T (absolute temperature of neon) = 308 К (35 ºС); P (limiting pressure of neon in the cylinder) = 308 kPa (308 * 10 ^ 3 Pa).

Constants: R (universal gas constant) = 8.31 J / (mol * K); M (molar mass of neon) ≈ 20 g / mol (0.02 * 10 ^ -3 kg / mol).

The volume of a cylinder for storing neon is determined using the equation of state of an ideal gas: P * V = (m / M) * R * T; V = m * R * T / (M * P).

Calculation: V = 10 * 8.31 * 308 / (0.02 * 308 * 10 ^ 3) = 4.155 m3.

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