MCAT · Practice Sheet 16

1. 1.

   Biology

   Under a microscope, an object of actual size 1.6 mm appears 104 mm. Find the magnification.

   Formula:Microscope Magnification

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

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2. 2.

   Physics

   If 1,389 J of work is done in 14 s, find the power.

   Formula:Power

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

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3. 3.

   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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4. 4.

   Chemistry

   A solution is made by dissolving 14 g of solute in 150 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.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 377 K in a 19 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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6. 6.

   Physics

   Find the voltage across a 36 Ω resistor carrying a current of 17 A.

   Formula:Ohm's Law

   $V = IR$

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7. 7.

   Physics

   Find the density of an object with mass 13 g and volume 4 cm³.

   Formula:Density

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

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8. 8.

   Physics

   Calculate the potential energy of a 18 kg object at a height of 14 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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9. 9.

   Chemistry

   Find the molarity of a solution containing 2 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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10. 10.

    Physics

    A constant force of 168 N moves an object 48 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Physics

    Find the force required to accelerate a 25 kg mass at 18 m/s².

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

    $F = ma$

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12. 12.

    Chemistry

    A solution is made by dissolving 16 g of solute in 81 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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13. 13.

    Physics

    Find the density of an object with mass 57 g and volume 23 cm³.

    Formula:Density

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

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14. 14.

    Physics

    Find the voltage across a 39 Ω resistor carrying a current of 7 A.

    Formula:Ohm's Law

    $V = IR$

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15. 15.

    Chemistry

    How many moles are present in 16 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

    Formula:Number of Moles

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

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16. 16.

    Physics

    Find the electrical power when 213 V drives a current of 8 A.

    Formula:Electrical Power

    $P = VI$

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17. 17.

    Chemistry

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

    Formula:pH of a Solution

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

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18. 18.

    Physics

    A projectile is launched at 10 m/s at 30° 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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19. 19.

    Chemistry

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

    Formula:pH of a Solution

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

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20. 20.

    Physics

    Find the kinetic energy of a 14 kg object moving at 21 m/s.

    Formula:Kinetic Energy

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

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