MCAT · Practice Sheet 29

1. 1.

   Chemistry

   How many moles are present in 400 g of calcium carbonate (CaCO₃) (molar mass = 100 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

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2. 2.

   Physics

   Find the density of an object with mass 381 g and volume 2 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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3. 3.

   Biology

   Under a microscope, an object of actual size 3.1 mm appears 223.2 mm. Find the magnification.

   Formula:Microscope Magnification

   $M = \dfrac{\text{image size}}{\text{actual size}}$

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4. 4.

   Chemistry

   Find the pH of a solution with [H⁺] = 2×10⁻5 mol/L.

   Formula:pH of a Solution

   $pH = -\log_{10}[H^{+}]$

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5. 5.

   Chemistry

   Find the molarity of a solution containing 1.5 mol of solute in 2.5 L of solution.

   Formula:Molarity

   $M = \dfrac{n}{V}$

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6. 6.

   Physics

   A force of 66 N acts on an area of 23 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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7. 7.

   Biology

   Calculate the BMI of a person weighing 92 kg with height 1.65 m.

   Formula:Body Mass Index

   $BMI = \dfrac{m}{h^{2}}$

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8. 8.

   Physics

   A body moving at 7 m/s accelerates at 8 m/s² for 10 s. Find the distance travelled.

   Formula:Equation of Motion (s = ut + ½at²)

   $s = ut + \tfrac{1}{2}at^{2}$

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9. 9.

   Chemistry

   How many moles are present in 150 g of calcium carbonate (CaCO₃) (molar mass = 100 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

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10. 10.

    Physics

    Calculate the potential energy of a 22 kg object at a height of 29 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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11. 11.

    Biology

    In a monohybrid cross (Aa × Aa) producing 148 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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12. 12.

    Physics

    Find the force required to accelerate a 33 kg mass at 6 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

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13. 13.

    Physics

    Calculate the potential energy of a 43 kg object at a height of 26 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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14. 14.

    Biology

    In a monohybrid cross (Aa × Aa) producing 116 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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15. 15.

    Biology

    Calculate the BMI of a person weighing 91 kg with height 1.62 m.

    Formula:Body Mass Index

    $BMI = \dfrac{m}{h^{2}}$

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16. 16.

    Physics

    A constant force of 192 N moves an object 39 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Physics

    A force of 207 N acts on an area of 18 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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18. 18.

    Physics

    Find the voltage across a 49 Ω resistor carrying a current of 12 A.

    Formula:Ohm's Law

    $V = IR$

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19. 19.

    Chemistry

    Find the molarity of a solution containing 2 mol of solute in 4 L of solution.

    Formula:Molarity

    $M = \dfrac{n}{V}$

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20. 20.

    Chemistry

    67 mL of a 5 M solution is diluted to 351 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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