MCAT · Practice Sheet 13

1. 1.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.1. 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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2. 2.

   Physics

   A projectile is launched at 22 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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3. 3.

   Chemistry

   52 mL of a 1 M solution is diluted to 383 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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4. 4.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 2.5 L of solution.

   Formula:Molarity

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

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5. 5.

   Chemistry

   Find the pressure of 2 mol of an ideal gas at 214 K in a 18 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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6. 6.

   Chemistry

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

   Formula:Molarity

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

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7. 7.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 340 K in a 7 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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8. 8.

   Physics

   Find the density of an object with mass 261 g and volume 10 cm³.

   Formula:Density

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

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9. 9.

   Chemistry

   How many moles are present in 80 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

   Formula:Number of Moles

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

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10. 10.

    Physics

    A projectile is launched at 14 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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11. 11.

    Physics

    Find the voltage across a 42 Ω resistor carrying a current of 2 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Physics

    Calculate the potential energy of a 29 kg object at a height of 23 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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13. 13.

    Chemistry

    83 mL of a 10 M solution is diluted to 474 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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14. 14.

    Physics

    Find the momentum of a 47 kg body moving at 39 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    Physics

    Find the density of an object with mass 475 g and volume 3 cm³.

    Formula:Density

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

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16. 16.

    Physics

    An object starts at 2 m/s and accelerates at 2 m/s² for 8 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

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17. 17.

    Physics

    Find the momentum of a 2 kg body moving at 10 m/s.

    Formula:Linear Momentum

    $p = mv$

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18. 18.

    Chemistry

    Find the pressure of 4 mol of an ideal gas at 252 K in a 6 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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19. 19.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻3 mol/L.

    Formula:pH of a Solution

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

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20. 20.

    Biology

    Under a microscope, an object of actual size 0.7 mm appears 9.8 mm. Find the magnification.

    Formula:Microscope Magnification

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

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