MCAT · Practice Sheet 27

1. 1.

   Chemistry

   How many moles are present in 27 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

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

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2. 2.

   Physics

   A force of 837 N acts on an area of 37 m². Find the pressure.

   Formula:Pressure

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

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3. 3.

   Physics

   A projectile is launched at 28 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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4. 4.

   Physics

   Find the electrical power when 240 V drives a current of 3 A.

   Formula:Electrical Power

   $P = VI$

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 128 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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6. 6.

   Physics

   A force of 360 N acts on an area of 27 m². Find the pressure.

   Formula:Pressure

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

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7. 7.

   Physics

   A body moving at 13 m/s accelerates at 7 m/s² for 3 s. Find the distance travelled.

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

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

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8. 8.

   Physics

   Calculate the potential energy of a 44 kg object at a height of 9 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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9. 9.

   Physics

   A constant force of 187 N moves an object 24 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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10. 10.

    Physics

    Find the kinetic energy of a 15 kg object moving at 23 m/s.

    Formula:Kinetic Energy

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

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11. 11.

    Physics

    A body moving at 0 m/s accelerates at 2 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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12. 12.

    Biology

    Under a microscope, an object of actual size 1.4 mm appears 103.6 mm. Find the magnification.

    Formula:Microscope Magnification

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

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13. 13.

    Chemistry

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

    Formula:pH of a Solution

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

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14. 14.

    Chemistry

    28 mL of a 10 M solution is diluted to 417 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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15. 15.

    Physics

    Calculate the potential energy of a 18 kg object at a height of 49 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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16. 16.

    Physics

    If 3,002 J of work is done in 9 s, find the power.

    Formula:Power

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

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17. 17.

    Biology

    In a monohybrid cross (Aa × Aa) producing 68 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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18. 18.

    Physics

    Find the density of an object with mass 87 g and volume 6 cm³.

    Formula:Density

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

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19. 19.

    Physics

    Find the voltage across a 20 Ω resistor carrying a current of 12 A.

    Formula:Ohm's Law

    $V = IR$

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20. 20.

    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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