MCAT · Practice Sheet 22

1. 1.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 222 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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2. 2.

   Physics

   If 570 J of work is done in 34 s, find the power.

   Formula:Power

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

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3. 3.

   Biology

   Calculate the BMI of a person weighing 48 kg with height 1.41 m.

   Formula:Body Mass Index

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

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4. 4.

   Chemistry

   Find the molarity of a solution containing 1.5 mol of solute in 2.5 L of solution.

   Formula:Molarity

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

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5. 5.

   Physics

   A force of 144 N acts on an area of 31 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   Physics

   Find the density of an object with mass 447 g and volume 8 cm³.

   Formula:Density

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

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7. 7.

   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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8. 8.

   Physics

   A constant force of 128 N moves an object 43 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   Physics

   Find the kinetic energy of a 18 kg object moving at 28 m/s.

   Formula:Kinetic Energy

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

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10. 10.

    Physics

    An object starts at 0 m/s and accelerates at 5 m/s² for 6 s. Find its final velocity.

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

    $v = u + at$

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11. 11.

    Physics

    Find the voltage across a 14 Ω resistor carrying a current of 9 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 332 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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13. 13.

    Biology

    In a monohybrid cross (Aa × Aa) producing 164 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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14. 14.

    Chemistry

    How many moles are present in 54 g of water (H₂O) (molar mass = 18 g/mol)?

    Formula:Number of Moles

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

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15. 15.

    Physics

    An object starts at 0 m/s and accelerates at 8 m/s² for 2 s. Find its final velocity.

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

    $v = u + at$

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16. 16.

    Chemistry

    99 mL of a 2 M solution is diluted to 400 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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17. 17.

    Chemistry

    Find the pH of a solution with [H⁺] = 1×10⁻6 mol/L.

    Formula:pH of a Solution

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

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18. 18.

    Physics

    A projectile is launched at 38 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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19. 19.

    Physics

    Find the electrical power when 70 V drives a current of 9 A.

    Formula:Electrical Power

    $P = VI$

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20. 20.

    Chemistry

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

    Formula:Molarity

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

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