1.

Calculate the weight of methane in a 9.00 litres cylinder at 16 atm and 27^@C.

Answer»

Solution :According to ideal gas equation,
`PV = nRT`
In the present CASE,
`P= 16 " atm, " "" V = 9.00 L, ""T = 273 + 27 = 300 K" and "R = 0.0821 " litre atm " K^(-1)mol^(-1)`
`:."" n = (PV)/(RT) =(16 xx 9.00)/(0.0821 xx 300) = 5.85`
The gram MOLECULAR mass of methane `(CH_4) = 16`
`:.`One mole of `CH_4`weight = 16 g
`:.5.85" moles of " CH_4 " will weight " = 16 xx 5.85 = 93.6 g`
Hence, the weight of the gas in the given conditions is 93.6 g.


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