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10 April, 02:33

5.00 L of a gas is collected at 100K and then allowed to expand to 20.0 L. What must the new temperature

be in order to maintain the same pressure?

A. 400 °C

B. 127 °C

C. 223 °C

D. 627°C

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Answers (1)
  1. 10 April, 02:50
    0
    Answer: Option B) 127 °C

    Explanation:

    Initial volume of gas V1 = 5.00 L

    Initial temperature of gas T1 = 100K

    New volume of gas V2 = 20.0 L

    new temperature of gas T2 = ?

    Since volume and temperature are involved while pressure is constant, apply the formula for Charles law

    V1/T1 = V2/T2

    5.00 L/100K = 20.0 L/T2

    cross multiply

    5.00 x T2 = 100 x 20.0

    5.00T2 = 2000

    T2 = 2000/5.00

    T2 = 400K

    Convert temperature in Kelvin to Celsius

    (400K - 273) = 127°C

    Thus, the new temperature of the gas is 127°C
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