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The density of 400cm³ of palm oil was 0.9g/cm³ before frying. If the density of the oil was 0.6g/cm³ after frying, assuming no loss of oil due to spilling, its volume was A. 360cm³ B. 600cm³ C. 240cm³ D. 800cm³

Physics

ScanSolve AI Answer

Answer

B

Step-by-step solution

3 steps

51.

  1. Identify the given values and the principle.

    The initial volume of palm oil is V1=400 cm3V_1 = 400 \text{ cm}^3.
    The initial density is ρ1=0.9 g/cm3\rho_1 = 0.9 \text{ g/cm}^3.
    The final density is ρ2=0.6 g/cm3\rho_2 = 0.6 \text{ g/cm}^3.
    Since there is no loss of oil, the mass of the oil remains constant (m1=m2m_1 = m_2).

  2. Calculate the initial mass of the oil.

    The formula for density is ρ=mV\rho = \frac{m}{V}, so mass m=ρ×Vm = \rho \times V.

    m1=ρ1×V1=0.9 g/cm3×400 cm3=360 gm_1 = \rho_1 \times V_1 = 0.9 \text{ g/cm}^3 \times 400 \text{ cm}^3 = 360 \text{ g}
  3. Calculate the final volume of the oil.

    Since m1=m2m_1 = m_2, the final mass m2=360 gm_2 = 360 \text{ g}.
    Using the formula V=mρV = \frac{m}{\rho} for the final state:

    V2=m2ρ2=360 g0.6 g/cm3=600 cm3V_2 = \frac{m_2}{\rho_2} = \frac{360 \text{ g}}{0.6 \text{ g/cm}^3} = 600 \text{ cm}^3

    The final volume is 600 cm3600 \text{ cm}^3.

    The correct option is B.

    B. 600 cm3\boxed{\text{B. } 600 \text{ cm}^3}

    52.
    The question describes a gas law where, for a given mass of gas at constant pressure, the volume is proportional to the absolute temperature.

    • Hooke's law relates to the extension of springs.
    • Boyle's law states that pressure and volume are inversely proportional at constant temperature.
    • Newton's law refers to laws of motion or gravitation.
    • Charles's law states that for a fixed amount of gas at constant pressure, the volume is directly proportional to its absolute temperature (V∝TV \propto T).

    Therefore, the gas is said to obey Charles's law.

    The correct option is D.

    D. Charles’s law\boxed{\text{D. Charles's law}}
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