MCAT · Practice Sheet 4

1. 1.

   Chemistry

   27 mL of a 10 M solution is diluted to 223 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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2. 2.

   Physics

   An object starts at 16 m/s and accelerates at 5 m/s² for 9 s. Find its final velocity.

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

   $v = u + at$

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3. 3.

   Physics

   Find the momentum of a 16 kg body moving at 12 m/s.

   Formula:Linear Momentum

   $p = mv$

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4. 4.

   Chemistry

   How many moles are present in 270 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

   Formula:Number of Moles

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

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5. 5.

   Physics

   A force of 221 N acts on an area of 20 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻3 mol/L.

   Formula:pH of a Solution

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

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7. 7.

   Chemistry

   Find the pressure of 1 mol of an ideal gas at 249 K in a 20 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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8. 8.

   Chemistry

   A solution is made by dissolving 29 g of solute in 188 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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9. 9.

   Chemistry

   Find the pressure of 1 mol of an ideal gas at 227 K in a 3 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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10. 10.

    Physics

    A constant force of 77 N moves an object 11 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Physics

    Find the force required to accelerate a 24 kg mass at 7 m/s².

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

    $F = ma$

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12. 12.

    Physics

    Find the kinetic energy of a 17 kg object moving at 7 m/s.

    Formula:Kinetic Energy

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

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13. 13.

    Physics

    A projectile is launched at 27 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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14. 14.

    Physics

    Find the electrical power when 183 V drives a current of 9 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Physics

    A constant force of 43 N moves an object 23 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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16. 16.

    Physics

    Find the kinetic energy of a 16 kg object moving at 12 m/s.

    Formula:Kinetic Energy

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

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17. 17.

    Physics

    Calculate the potential energy of a 13 kg object at a height of 8 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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18. 18.

    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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19. 19.

    Physics

    Find the momentum of a 32 kg body moving at 12 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    If 1,635 J of work is done in 43 s, find the power.

    Formula:Power

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

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