MCAT · Practice Sheet 45

1. 1.

   Physics

   Find the electrical power when 176 V drives a current of 1 A.

   Formula:Electrical Power

   $P = VI$

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2. 2.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 381 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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3. 3.

   Physics

   Calculate the potential energy of a 4 kg object at a height of 9 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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4. 4.

   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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5. 5.

   Physics

   A body moving at 11 m/s accelerates at 4 m/s² for 5 s. Find the distance travelled.

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

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

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6. 6.

   Physics

   Find the force required to accelerate a 46 kg mass at 16 m/s².

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

   $F = ma$

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7. 7.

   Physics

   A force of 828 N acts on an area of 34 m². Find the pressure.

   Formula:Pressure

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

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8. 8.

   Physics

   Find the voltage across a 42 Ω resistor carrying a current of 7 A.

   Formula:Ohm's Law

   $V = IR$

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9. 9.

   Chemistry

   How many moles are present in 176 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

   Formula:Number of Moles

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

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10. 10.

    Chemistry

    A solution is made by dissolving 33 g of solute in 149 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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11. 11.

    Physics

    If 1,351 J of work is done in 50 s, find the power.

    Formula:Power

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

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12. 12.

    Physics

    Find the kinetic energy of a 2 kg object moving at 5 m/s.

    Formula:Kinetic Energy

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

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13. 13.

    Chemistry

    How many moles are present in 50 g of calcium carbonate (CaCO₃) (molar mass = 100 g/mol)?

    Formula:Number of Moles

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

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14. 14.

    Physics

    If 4,102 J of work is done in 30 s, find the power.

    Formula:Power

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

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15. 15.

    Physics

    Find the voltage across a 33 Ω resistor carrying a current of 12 A.

    Formula:Ohm's Law

    $V = IR$

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16. 16.

    Chemistry

    Find the molarity of a solution containing 3 mol of solute in 2.5 L of solution.

    Formula:Molarity

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

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17. 17.

    Biology

    Under a microscope, an object of actual size 0.3 mm appears 21.3 mm. Find the magnification.

    Formula:Microscope Magnification

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

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18. 18.

    Chemistry

    28 mL of a 2 M solution is diluted to 257 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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19. 19.

    Physics

    An object starts at 15 m/s and accelerates at 6 m/s² for 9 s. Find its final velocity.

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

    $v = u + at$

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20. 20.

    Physics

    Find the force required to accelerate a 20 kg mass at 10 m/s².

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

    $F = ma$

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