Physics

Question

How many ideal gas molecules would be contained inside a 100 cc flask at room temperature and pressure

2 Answer

  • Using T=300 at 1atm, converting 100cc to 0.0001m^3, and using the ideal gas law I get
    0.00000406219 mol.
    That's about 2.446x10^18 molecules.
  • Answer:

    The answer is 2.68x10^21 molecules

    Explanation:

    The ideal conditions for an ideal gas are the following, in addition to the data provided by the exercise:

    T = temperature = 273.15 K

    P = pressure = 1 atm

    V = volume = 100 cm^3 = 0.1 L

    R = ideal gas constant = 0.082 atm*L/mol*K

    n = number of moles = ?

    the ideal gas formula is as follows:

    P*V = n*R*T

    Clearing n:

    n = P*V/R*T = ((1 atm)*(0.1 L))/((0.082 atm*L/mol*K)*(273.15 K)) = 0.00446 mol

    we use Avogadro's number to calculate the number of molecules:

    Molecules = 0.00446 mol * 6.022x10^23 molecules/mol = 2.68x10^21 molecules

NEWS TODAY