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10 August, 22:47

A rigid stainless steel chamber contains 170 Torr of methane, CH4, and excess oxygen, O2, at 170.0 °C. A spark is ignited inside the chamber, completely combusting the methane. What is the change in total pressure within the chamber following the reaction? Assume a constant temperature throughout the process.

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  1. 11 August, 02:02
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    The change in total pressure is 0. There is no change in pressure.

    Explanation:

    Step 1: The balanced equation

    CH4 + 2O2 → CO2 + 2H20

    Step 2: Data given

    Temperature = 170 °C = 443 Kelvin

    170 Torr of methane, CH4, and excess oxygen, O2

    Step 3: Calcuate change of pressure

    For 1 mole of CH4 consumed, we need 2 moles of O2. This means:

    140 torr of CH4 means the pressure of O2 is at least 2*140 = 280 torr. Since it's excess it will be more so let's consider 280 + x torr

    For 1 mole of CH4 consumed, we need 2 moles of O2, to consume 1 mole of CO2 and 2 moles of H2O. We can consider 140 torr of CO2 and 280 torr of H2O. Since we are at 170 °C, the water produced is vapor.

    Of the excess O2, there will, after 280 torr is used, remain x torr of O2.

    280 torr of O2 is used.

    From the Ideal Gas Law: PV = nRT (all parameters are constant)

    That means, P1 = P2

    Thus, change in total pressure = 0 (no change)
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