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प्रश्न
The density of a gas is found to be 5.46 g/dm3 at 27 °C at 2 bar pressure. What will be its density at STP?
उत्तर
Given
`"d"_1= 5.46 " g/dm"^3`
`"p"_1` = 2 bar
`"T"_1 = 27 ^@"C"` = (27 + 273) K = 300 K
`"p"_2` = 1 bar
`"T"_2` = 273 K
`"d"_2 = ?`
The density (d2) of the gas at STP can be calculated using the equation,
`"d" = ("Mp")/("RT")`
`therefore "d"_1/"d"_2 = (("Mp"_1)/("RT"_1))/(("Mp"_2)/("RT"_2))`
`=> "d"_1/"d"_2 = ("p"_1"T"_2)/("p"_2"T"_1)`
`=> "d"_2 = ("p"_2"T"_1"d"_1)/("p"_1"T"_2)`
`= (1 xx 300 xx 5.46)/(2 xx 273)`
`= 3 " gdm"^(-3)`
Hence, the density of the gas at STP will be 3 g dm–3.
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