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  • Calculating Gas Volume: Ideal Gas Law Application
    We can use the ideal gas law to determine the volume occupied by 2.50 mole of hydrogen at -20°C and 1.5 atm. The ideal gas law is given by:

    PV = nRT

    Where:

    P is the pressure in atmospheres (atm)

    V is the volume in liters (L)

    n is the number of moles of gas (mol)

    R is the universal gas constant (0.08206 L atm / mol K)

    T is the temperature in Kelvin (K)

    First, we need to convert the temperature from °C to K. We can do this by adding 273.15 to the °C temperature:

    T = -20°C + 273.15 = 253.15 K

    Now we can plug in the given values into the ideal gas law equation and solve for V:

    V = nRT / P = (2.50 mol)(0.08206 L atm / mol K)(253.15 K) / (1.5 atm) = 42.6 L

    Therefore, 2.50 mole of hydrogen will occupy a volume of 42.6 liters at -20°C and 1.5 atm.

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