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28 September, 08:29

At 10.°C, 20. g of oxygen gas exerts a pressure of 2.1atm in a rigid, 7.0L cylinder. Assuming ideal behavior, if the temperature of the gas was raised to 40.°C, which statement indicates the new pressure and explains why?

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  1. 28 September, 08:35
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    Final pressure = 2.3225 atm

    Amontons's law states that

    At constant volume and number of molecules, the pressure of a given mass of gas is directly proportional to its temperature

    Explanation:

    Temperature causes increased excitement of gas molecules increasing the number of collisions with the walls of the container which is sensed as increase in pressure

    Amontons's law: P/T = Constant at constant V and n

    That is P1/T1 = P2/T2

    Where temperature is given in Kelvin

    Hence T1 of 10°C = 273.15 + 10 = 283.15K

    Also temperature T2 of 40°C = 313.15 K

    Hence

    P2 = (P1/T1) * T2 = (2.1/283.15) * 313.15 = 2.3225 atm
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