MCAT · Practice Sheet 24

1. 1.

   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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2. 2.

   Physics

   Find the kinetic energy of a 14 kg object moving at 24 m/s.

   Formula:Kinetic Energy

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

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3. 3.

   Physics

   Find the force required to accelerate a 4 kg mass at 1 m/s².

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

   $F = ma$

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4. 4.

   Biology

   Under a microscope, an object of actual size 2.2 mm appears 132 mm. Find the magnification.

   Formula:Microscope Magnification

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

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5. 5.

   Chemistry

   54 mL of a 10 M solution is diluted to 323 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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6. 6.

   Physics

   Find the electrical power when 30 V drives a current of 11 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Physics

   Find the density of an object with mass 454 g and volume 49 cm³.

   Formula:Density

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

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8. 8.

   Physics

   A constant force of 78 N moves an object 37 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   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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10. 10.

    Physics

    If 2,078 J of work is done in 19 s, find the power.

    Formula:Power

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

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11. 11.

    Physics

    Find the voltage across a 6 Ω resistor carrying a current of 8 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Physics

    Find the electrical power when 99 V drives a current of 18 A.

    Formula:Electrical Power

    $P = VI$

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13. 13.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 309 K in a 10 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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14. 14.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.3. 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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15. 15.

    Physics

    Find the momentum of a 36 kg body moving at 8 m/s.

    Formula:Linear Momentum

    $p = mv$

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16. 16.

    Physics

    A projectile is launched at 33 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

    $R = \dfrac{u^{2}\sin 2\theta}{g}$

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17. 17.

    Chemistry

    A solution is made by dissolving 44 g of solute in 102 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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18. 18.

    Biology

    Calculate the BMI of a person weighing 45 kg with height 1.66 m.

    Formula:Body Mass Index

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

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19. 19.

    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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20. 20.

    Chemistry

    Find the molarity of a solution containing 1.5 mol of solute in 2 L of solution.

    Formula:Molarity

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

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