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13 February, 00:26

A helium-filled balloon has a volume of 2.75 L at 20.°C. The volume of the

balloon decreases to 2.46 L after it is placed outside on a cold day. What is the

outside temperature in K? in °C?

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Answers (1)
  1. 13 February, 01:38
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    Answer: The outside temperature is 262.1K or - 10.9°C

    Explanation:

    Given that,

    Original volume V1 = 2.75 L

    Original temperature T1 = 20.0°C

    Since unit of temperature is Kelvin, convert 20°C to Kelvin by adding 273 to 20°C

    (20.0°C + 273K = 293K)

    Outside volume V2 = 2.46 L

    Outside temperature T2 = ?

    Since volume and temperature are given while pressure is constant, apply the formula for Charle's law

    V1/T1 = V2/T2

    2.75L/293K = 2.46L/T2

    To get the value of T2, cross multiply

    2.75L x T2 = 2.46L x 293K

    2.75LT2 = 720.78LK

    Divide both sides by 2.75L

    2.75LT2 / 2.75L = 720.78LK/2.75L

    T2 = 262.1K

    Hence, the outside temperature in Kelvin is 262.1K. Then, obtain outside temperature in Celsius by subtracting 273 from 262.1K

    i. e 262.1K - 273 = - 10.9°C

    Thus, the outside temperature is 262.1K, or - 10.9°C
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