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Chapter 2, Problem 10P

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QUESTION:

Problem 10P

A spherical balloon with a diameter of 9 m is filled with helium at 20°C and 200 kPa. Determine the mole number and the mass of the helium in the balloon.

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QUESTION:

Problem 10P

A spherical balloon with a diameter of 9 m is filled with helium at 20°C and 200 kPa. Determine the mole number and the mass of the helium in the balloon.

ANSWER:

Solution

Step 1

Here we deal with constant volume and Isochoric in temperature. By assuming the gas is at compressible gas with compressibility independent of temperature. The ideal gas equation

Where P is pressure pa, V is volume V,  N Number of moles kmol, Ru universal gas J/kmol.k , T temperature k, Rg Gas constant J/kg.k, M Molar mass kg/kmol, m Mass kg

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