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25 February, 15:22

5/10

5.00 moles of an ideal gas X was found to occupy a volume of

62.0 L at a pressure of 250. KPa and at a temperature of 100

*C. What is the value of the gas constant in?

mol:K

mol-K (3 sig fias)

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Answers (2)
  1. 25 February, 16:37
    0
    Answer:8.31
  2. 25 February, 17:40
    0
    Answer: 0.082 atm L k^-1 mole^-1

    Explanation:

    Given that:

    Volume of gas (V) = 62.0 L

    Temperature of gas (T) = 100°C

    Convert 100°C to Kelvin by adding 273

    (100°C + 273 = 373K)

    Pressure of gas (P) = 250 kPa

    [Convert pressure in kilopascal to atmospheres

    101.325 kPa = 1 atm

    250 kPa = 250/101.325 = 2.467 atm]

    Number of moles (n) = 5.00 moles

    Gas constant (R) = ?

    To get the gas constant, apply the formula for ideal gas equation

    pV = nRT

    2.467 atm x 62.0L = 5.00 moles x R x 373K

    152.954 atm•L = 1865 K•mole x R

    To get the value of R, divide both sides by 1865 K•mole

    152.954 atm•L / 1865 K•mole = 1865 K•mole•R / 1865 K•mole

    0.082 atm•L•K^-1•mole^-1 = R

    Thus, the value of gas constant is 0.082 atm L k^-1 mole^-1
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