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March 25, 2017

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A vessel containing 39.5 cm^3 of helium gas at 25°C and 106kPa was inverted and placed in cold ethanol. As the gas contracted, ethanol was forced into the vessel to maintain the same pressure of helium. If this required 7.7cm^3 of ethanol, what was the final temperature of the helium?

  • Chemistry - ,

    assuming ideal gas, we can use the formula for constant pressure:
    V1/T1 = V2/T2
    where
    V = volume
    T = temperature (in Kelvin)
    note that to convert to Kelvin, K = C + 273
    substituting,
    39.5 / (25 + 273) = 7.7 / T2
    now solve for T2. subtract 273 to convert it to deg C units

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