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Question
The volume of a given mass of a gas at 27°C is 100 cc. To what temperature should it be heated at the same pressure so that it will occupy a volume of 150 cc?
Solution
V1 = 100 cc
V2 = 150 cc
T1 = 27 + 273 = 300 K
T2 = ?
`"V"_1/"T"_1 = "V"_2/"T"_2`
∴ T1V2 = V1T2
∴ `"T"_2 = ("T"_1"V"_2)/"V"_1`
∴ `"T"_2 = (150 xx 300)/100 = 450`K
∴ T2 = 450 - 273 = 177°C
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