MCAT · Practice Sheet 40

1. 1.

   Chemistry

   Find the pH of a solution with [H⁺] = 5×10⁻4 mol/L.

   Formula:pH of a Solution

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

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2. 2.

   Chemistry

   A solution is made by dissolving 43 g of solute in 163 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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3. 3.

   Physics

   Find the momentum of a 8 kg body moving at 32 m/s.

   Formula:Linear Momentum

   $p = mv$

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4. 4.

   Chemistry

   A solution is made by dissolving 6 g of solute in 84 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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5. 5.

   Biology

   Calculate the BMI of a person weighing 92 kg with height 1.91 m.

   Formula:Body Mass Index

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

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6. 6.

   Physics

   A body moving at 1 m/s accelerates at 8 m/s² for 9 s. Find the distance travelled.

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

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

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7. 7.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.2. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

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8. 8.

   Physics

   A body moving at 13 m/s accelerates at 5 m/s² for 6 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.

   Physics

   A force of 546 N acts on an area of 33 m². Find the pressure.

   Formula:Pressure

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

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10. 10.

    Biology

    Calculate the BMI of a person weighing 80 kg with height 1.57 m.

    Formula:Body Mass Index

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

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11. 11.

    Chemistry

    54 mL of a 10 M solution is diluted to 371 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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12. 12.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.4. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

    $p + q = 1,\;\; 2pq = \text{carriers}$

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13. 13.

    Physics

    Find the momentum of a 38 kg body moving at 26 m/s.

    Formula:Linear Momentum

    $p = mv$

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14. 14.

    Physics

    If 3,653 J of work is done in 9 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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15. 15.

    Physics

    Find the voltage across a 14 Ω resistor carrying a current of 3 A.

    Formula:Ohm's Law

    $V = IR$

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16. 16.

    Biology

    In a monohybrid cross (Aa × Aa) producing 136 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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17. 17.

    Physics

    Find the voltage across a 25 Ω resistor carrying a current of 13 A.

    Formula:Ohm's Law

    $V = IR$

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18. 18.

    Biology

    Calculate the BMI of a person weighing 89 kg with height 1.86 m.

    Formula:Body Mass Index

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

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19. 19.

    Chemistry

    Find the molarity of a solution containing 2.5 mol of solute in 2 L of solution.

    Formula:Molarity

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

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20. 20.

    Physics

    Find the kinetic energy of a 7 kg object moving at 3 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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