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Determine the number of moles of 3.6 g of water [H=1, O=16]. An object has a volume of 2.50 m3 and a density of 10.0 kg m-3. What is the mass of the object? The function of a switch in a circuit is to Which of the following machines is a second class lever?

Physics

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15. Determine the number of moles of 3.6 g3.6\,g of water.

  1. Calculate the molar mass of water (H2O\text{H}_2\text{O}).

    Given atomic masses: H = 1, O = 16.
    Molar mass of H2O=(2×1)+16=2+16=18 g/mol\text{H}_2\text{O} = (2 \times 1) + 16 = 2 + 16 = 18\,g/mol.

  2. Calculate the number of moles using the formula

    Number of moles=massmolar mass\text{Number of moles} = \frac{\text{mass}}{\text{molar mass}}.

    Number of moles=3.6 g18 g/mol\text{Number of moles} = \frac{3.6\,g}{18\,g/mol} Number of moles=0.20 mol\text{Number of moles} = 0.20\,mol
    • C. 0.20 mol\mathbf{0.20\,mol}

    16. An object has a volume of 2.50 m32.50\,m^3 and a density of 10.0 kg m−310.0\,kg\,m^{-3}. What is the mass of the object?

  3. Identify the given values and the formula for density.

    Given volume V=2.50 m3V = 2.50\,m^3.
    Given density ρ=10.0 kg m−3\rho = 10.0\,kg\,m^{-3}.
    The formula for density is ρ=mV\rho = \frac{m}{V}, where mm is mass.

  4. Rearrange the formula to solve for mass.

    m=ρ×Vm = \rho \times V
  5. Substitute the values and calculate the mass.

    m=10.0 kg m−3×2.50 m3m = 10.0\,kg\,m^{-3} \times 2.50\,m^3 m=25.0 kgm = 25.0\,kg
    • B. 25.0 kg\mathbf{25.0\,kg}

    17. The function of a switch in a circuit is to

    • A switch is a device used to make or break an electrical circuit. By opening or closing the circuit, it controls the flow of current, effectively turning the current on or off.
    • A. turn off the current

    18. Which of the following machines is a second class lever?

    • In a second-class lever, the load is located between the fulcrum and the effort.
    • A wheelbarrow is a classic example: the wheel acts as the fulcrum, the load is in the middle, and the effort is applied at the handles.
    • D. Wheelbarrow
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