Calculate the mass of methane in a 9L cylinder at 16 bar and 27°C. (R = 0·08L bar K^–1 mol^–1).

Solution

Let the mass of methane by weight.

space space Molecular space mass space of space methane space left parenthesis CH subscript 4 right parenthesis space equals space 16 space space straight V space equals space 9 straight L comma space space space straight T space equals space 273 space plus space 27 space equals space 300 space straight K space space space straight n space equals space straight w over 16 comma space space space straight P space equals space 16 space bar

Applying ideal gas equation PV = nRT
Substituting the values in the above equation, we have,

space space 16 space cross times space 9 space equals space straight w over 16 cross times 0.08 space cross times space 300

space space therefore space space space space straight w space equals space fraction numerator 16 space cross times space 16 space cross times space 9 over denominator 0.08 space cross times space 300 end fraction space equals space 96

Thus, mass of methane = 96g

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