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Question
A sample of gas at 15°C at 1 atm. has a volume of 2.58 dm3. When the temperature is raised to 38°C at 1 atm does the volume of the gas Increase? If so, calculate the final volume.
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Solution
T1 = 15°C + 273
T2 = 38°C + 273
T1 = 228 K
T2 = 311 K
V1 = 2.58 dm3
V2 = ?
(P = 1 atom constant)
`"V"_1/"T"_1 = "V"_2/"T"_2`
V2 = `("V"_1/"T"_1)` × T2
= `(2.58 "dm"^3)/(288 "K") xx 311 "K"`
V2 = 2.78 dm3
i.e, volume increased from 2.58 dm3 to 2.78 dm3
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