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20 February, 12:58

Apply the ideal gas law to solve problems

Question

A sample of gas that contains 21.0 moles at a pressure of 78.0 atm with a temperature of 900. Khas what volume?

• Use R = 0.08206 La

for the gas constant.

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Answers (1)
  1. 20 February, 13:17
    0
    Volume of gas (V) = 19.8935 L

    Explanation:

    Data Given:

    no. of mole of gas (n) = 21.0 mole

    Pressure P = 78.0 atm

    Temperature T = 900 K

    Ideal gas constant = 0.08206 L atm K⁻¹ mol⁻¹

    Volume of gas = ?

    Formula used for Ideal gases

    PV = nRT

    As we have to find volume of the gas:

    We will rearrange the ideal gas equation as below:

    V = nRT / P ... (1)

    Put value in equation (1)

    V = 21.0 mol x 0.08206 L atm K⁻¹ mol⁻¹ x 900K / 78.0 atm

    V = 19.8935 L

    Volume of gas V = 19.8935 L
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