MCAT · Practice Sheet 10

1. 1.

   Chemistry

   A solution is made by dissolving 29 g of solute in 98 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.

   Physics

   Calculate the potential energy of a 25 kg object at a height of 13 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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3. 3.

   Physics

   Find the voltage across a 31 Ω resistor carrying a current of 19 A.

   Formula:Ohm's Law

   $V = IR$

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4. 4.

   Physics

   Find the density of an object with mass 471 g and volume 37 cm³.

   Formula:Density

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

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5. 5.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 380 K in a 4 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 projectile is launched at 43 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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7. 7.

   Chemistry

   66 mL of a 5 M solution is diluted to 198 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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8. 8.

   Physics

   Find the density of an object with mass 309 g and volume 17 cm³.

   Formula:Density

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

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9. 9.

   Biology

   In a monohybrid cross (Aa × Aa) producing 136 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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10. 10.

    Physics

    A projectile is launched at 48 m/s at 45° 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.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 335 K in a 4 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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12. 12.

    Chemistry

    How many moles are present in 720 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

    Formula:Number of Moles

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

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13. 13.

    Physics

    A body moving at 12 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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14. 14.

    Physics

    Calculate the potential energy of a 6 kg object at a height of 29 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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15. 15.

    Chemistry

    18 mL of a 10 M solution is diluted to 340 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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16. 16.

    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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17. 17.

    Physics

    A constant force of 194 N moves an object 28 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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18. 18.

    Biology

    In a monohybrid cross (Aa × Aa) producing 180 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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19. 19.

    Biology

    Under a microscope, an object of actual size 0.9 mm appears 70.2 mm. Find the magnification.

    Formula:Microscope Magnification

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

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20. 20.

    Chemistry

    Find the pH of a solution with [H⁺] = 1×10⁻2 mol/L.

    Formula:pH of a Solution

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

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