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Question
Solve the following problem.
A gas at 900 °C is cooled until both its pressure and volume are halved. Calculate its final temperature.
Solution
Given: T1 = 900 °C = 900 + 273.15 = 1173.15 K
`"V"_2 = "V"_1/2, "P"_2 = "P"_1/2`
To find: Final temperature (T2)
Formula: `("P"_1"V"_1)/"T"_1 = ("P"_2"V"_2)/"T"_2`
Calculation: From formula,
`("P"_1"V"_1)/1173.15 = ("P"_1"V"_1)/(4"T"_2)`
`therefore "T"_2 = 1173.15/4 = 293.29`K
Final temperature of gas is 293.29 K.
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