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8 December, 16:08

What is the pressure in atmospheres of a 2.50 mol gas in a 2.00 L bottle at 25.0ºC? The ideal gas constant is 0.0821 L·atm/mol·K

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  1. 8 December, 16:12
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    30.58 atm

    Explanation:

    Now recall that the ideal gas equation is given as;

    PV=nRT

    Where;

    P = pressure of the gas (the unknown)

    V = volume of the gas = 2.00L

    n = number of moles of the gas = 2.50 mol

    T = temperature of the gas = 25.0° + 273 = 298K

    R = ideal gas constant = 0.0821 L·atm/mol·K

    Given all these parameters, we can now substitute into PV = nRT

    Making P the subject of the formula;

    P = nRT/V

    substituting the given values into the equation;

    P = 2.50 * 0.0821 * 298/2.00

    P = 30.58 atm

    Therefore, the pressure of the gas is 30.58 atm
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