Which of the following represents the mass of 1 molecule of sh2?

Which of the following represents the mass of 1 molecule of sh2?

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  1.             5.645 × 10⁻²³ g

    Solution:

    Step 1) Calculate Molar Mass of SH₂;

    Atomic Mass of Sulfur    =  32 g/mol

    Atomic Mass of H₂         =  2 g/mol
                                         
    Molecular Mass of SH₂  =  34 g/mol

    Step 2: Calculate mass of one molecule of SH₂ as;

    As,

                         Moles  =  # of Molecules / 6.022 × 10²³

    Also, Moles  =  Mass / M.Mass So,

                         Mass/M.mass  =  # of Molecules / 6.022 × 10²³

    Solving for Mass,

                         Mass  = # of Molecules × M.mass / 6.022 × 10²³

    Putting values,

                         Mass  =  (1 Molecule × 34 g.mol⁻¹) ÷ 6.022 × 10²³

                         Mass  =  5.645 × 10⁻²³ g

  2. a) A = 4.0 m , b)   w = 3.0 rad / s , c)  f = 0.477 Hz , d) T = 20.94 s

    Explanation:

    The equation that describes the oscillatory motion is

              x = A cos (wt + fi)

    In the exercise we are told that the expression is

              x = 4.0 cos (3.0 t + 0.10)

    let's answer the different questions

    a) the amplitude is

             A = 4.0 m

    b) the frequency or angular velocity

             w = 3.0 rad / s

    c) angular velocity and frequency are related

              w = 2π f

               f = w / 2π

               f = 3 / 2π

               f = 0.477 Hz

    d) the period

    frequency and period are related

               T = 1 / f

               T = 1 / 0.477

               T = 20.94 s

    e) the phase constant

              Ф = 0.10 rad

    f) velocity is defined by

              v = dx / dt

             

             v = - A w sin (wt + Ф)

    speed is maximum when sine is + -1

             v = A w

              v = 4 3

              v = 12 m / s

    g) the angular velocity is

              w² = k / m

              k = m w²

              k = 1.2 3²

              k = 10.8 N / m

    h) the total energy of the oscillator is

              Em = ½ k A²

               Em = ½ 10.8 4²

              Em = 43.2 J

    i) the potential energy is

               Ke = ½ k x²

    for t = 0 x = 4 cos (0 + 0.1)

                   x = 3.98 m

    j) kinetic energy

               K = ½ m v²

    for t = 00.1 ²

        v = A w sin 0.10

        v = 4 3 sin 0.10

        v = 1.98 m / s

  3. 1) A. 0.0515 L

    2) B. 35.504 L

    3) B. 422.446 g

    Explanation:

    At STP, you have 0.101 g of carbon dioxide gas. What is the volume of this gas?

    Step 1: Data given

    Mass of   CO2 gas = 0.101 grams

    Molar mass of CO2 = 44.01 g/mol

    STP = 1 atm and 273K

    Step 2: Calculate moles CO2

    Moles CO2 = mass CO2 / molar mass CO2

    Moles CO2 = 0.101 grams / 44.01 g/mol

    Moles CO2 = 0.0023 moles

    Step 3: Calculate the volume

    For 1 mol at STP we have 22.4L

    0.0023 moles we have 22.4L * 0.0023 = 0.0515 L

    Option A is correct

    You have 27g of ammonia (nitrogen trihydride) at STP. What is the volume? Hint...you will first need to convert mass of ammonia to moles!

    Step 1: Data given

    Molar mass of NH3 = 17.03 g/mol

    Mass of NH3 = 27.00 grams

    STP = 1 atm and 273K

    Step 2: Calculate moles NH3

    Moles NH3 = 27.00 grams / 17.02 g/mol

    Moles NH3 = 1.585 moles

    Step 3: Calculate volume

    For 1 mol at STP we have 22.4 L

    For 1.585 moles we have 22.4 * 1.585 = 35.504 L

    Option B is correct

    Which of the following represents the MASS of 215 L of dinitrogen monoxide at STP? Hint...find the # of moles of this gas and then use the molar mass to go from moles to mass!

    Step 1: Data given

    Volume = 215 L

    STP = 1 atm and 273 K

    Molar mass of N2O = 44.01 g/mol

    Step 2: Calulate moles N2O

    22.4L = 1 mol at STP

    215 L = 215 / 22.4 = 9.60 moles

    Step 3: Calculate mass N2O

    Mass N2O = moles N2O * molar mass N2O

    Mass N2O = 9.60 moles* 44.01 g/mol

    Mass N2O = 422.446 g

    Option B is correct

  4. The answer is D. An oxygen molecule, O2 (because oxygen's natural state is diatomic), consists of two oxygen atoms. You would calculate the mass of a mole of oxygen molecules as 16.00 * 2 grams. To find the mass of one molecule, use the conversion factor 1 mole / 6.02e23 molecules. The mass of one oxygen molecule would then be 16.00 * 2 / 6.02e23

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