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20 August, 00:46

Which one of the following changes would cause the pressure of a gas to double assuming temperature was held constant? A) Decreasing the volume of a gas from 4.0 L to 2.0 L while keeping moles the same. B) Increasing the volume of a gas from 2.0 L to 4.0 L while keeping moles the same. C) Doubling the number of moles of gas present while decreasing the volume from 2.0 L to 1.0 L. D) Doubling both the moles of gas and the volume of gas.

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  1. 20 August, 03:16
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    Statement A is correct. Decreasing the volume of a gas from 4.0 L to 2.0 L while keeping moles the same.

    Explanation:

    Step 1: Data given

    Pressure of a gas is doubled

    Temperature stays constant

    Step 2:

    P1*V1 / n1 = P2*V2/n2

    ⇒with P1 = the initial pressure = 1.0 atm

    ⇒with V1 = the initial volume

    ⇒with n1 = the initial number of moles gas

    ⇒with P2 = the final pressure = 2.0 atm

    ⇒with V2 = the final volume

    ⇒with n2 = the final number of moles

    Decreasing the volume of a gas from 4.0 L to 2.0 L while keeping moles the same.

    Suppose the initial number of moles = 2.0 moles

    1.0 * 4.0 / 2.0 = 2.0 * 2.0 / n2

    The final number of moles n2 = 2.0 moles = the same

    This statement is true

    Increasing the volume of a gas from 2.0 L to 4.0 L while keeping moles the same.

    Suppose the initial number of moles = 2.0 moles

    1.0 * 2.0 / 2.0 = 2.0 * 4.0 / n2

    The final number of moles n2 = 8.0 moles = not the same

    This statement is false

    C) Doubling the number of moles of gas present while decreasing the volume from 2.0 L to 1.0

    Suppose the initial number of moles = 2.0 moles

    1.0 * 2.0 / 2.0 = 2.0 * 1.0 / n2

    The final number of moles n2 = 2.0 moles = the same

    This statement is false

    D) Doubling both the moles of gas and the volume of gas.

    Suppose the initial number of moles = 2.0 moles

    The initial volume = 1.0 L

    1.0 * 1.0 / 2.0 = 2.0 * 2.0 / n2

    The final number of moles n2 = 8.0 moles = not the same

    This statement is false

    Statement A is correct. Decreasing the volume of a gas from 4.0 L to 2.0 L while keeping moles the same.
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