MCAT · Practice Sheet 21

1. 1.

   Chemistry

   A solution is made by dissolving 34 g of solute in 153 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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2. 2.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 279 K in a 8 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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3. 3.

   Biology

   Under a microscope, an object of actual size 4.4 mm appears 242 mm. Find the magnification.

   Formula:Microscope Magnification

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

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4. 4.

   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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5. 5.

   Chemistry

   Find the pressure of 5 mol of an ideal gas at 236 K in a 11 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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6. 6.

   Physics

   A body moving at 12 m/s accelerates at 6 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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7. 7.

   Chemistry

   23 mL of a 10 M solution is diluted to 203 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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8. 8.

   Physics

   If 598 J of work is done in 46 s, find the power.

   Formula:Power

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

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9. 9.

   Physics

   Find the voltage across a 47 Ω resistor carrying a current of 3 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    Find the density of an object with mass 486 g and volume 35 cm³.

    Formula:Density

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

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11. 11.

    Biology

    Calculate the BMI of a person weighing 75 kg with height 1.92 m.

    Formula:Body Mass Index

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

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12. 12.

    Physics

    Find the kinetic energy of a 17 kg object moving at 4 m/s.

    Formula:Kinetic Energy

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

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13. 13.

    Physics

    An object starts at 4 m/s and accelerates at 6 m/s² for 8 s. Find its final velocity.

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

    $v = u + at$

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14. 14.

    Physics

    A constant force of 91 N moves an object 20 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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15. 15.

    Physics

    Find the kinetic energy of a 12 kg object moving at 7 m/s.

    Formula:Kinetic Energy

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

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16. 16.

    Physics

    A constant force of 131 N moves an object 35 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 218 K in a 11 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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18. 18.

    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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19. 19.

    Biology

    Under a microscope, an object of actual size 3.2 mm appears 54.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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20. 20.

    Physics

    A force of 90 N acts on an area of 46 m². Find the pressure.

    Formula:Pressure

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

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