Determine the pH of a $0.01 \text{ M}$ solution of a strong monoprotic acid ($HCl$).

Since $HCl$ is a strong acid, $[H^+] = 0.01 \text{ M} = 10^{-2} \text{ M}$. The pH is calculated as: $pH = -\log[H^+] = -\log(10^{-2}) = 2$.

Calculate the final velocity of an object in free fall after $3 \text{ s}$, assuming an acceleration due to gravity of $g = 9.8 \text{ m/s}^2$ starting from rest.

Using the kinematic formula $v = u + at$, where $u = 0$, $a = 9.8 \text{ m/s}^2$, and $t = 3 \text{ s}$: $v = 0 + (9.8)(3) = 29.4 \text{ m/s}$.

Determine the equivalent resistance ($R_{eq}$) of two $10 \, \Omega$ resistors connected in parallel .

For parallel resistors, $\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}$. Thus, $\frac{1}{R_{eq}} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = 0.2$. Therefore, $R_{eq} = 5 \, \Omega$.

Find the number of moles in $44 \text{ g}$ of $CO_2$ (Molar mass = $44 \text{ g/mol}$).

Using the formula $n = \frac{\text{mass}}{\text{molar mass}}$, we get $n = \frac{44 \text{ g}}{44 \text{ g/mol}} = 1 \text{ mole}$.

Explain the effect of increasing pressure on the following equilibrium: $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$.

According to Le Chatelier's Principle , increasing pressure shifts the equilibrium toward the side with fewer moles of gas. Since the product side has 2 moles and the reactant side has 4, the equilibrium shifts to the right, favoring the production of $NH_3$.

Calculate the work done by a force of $50 \text{ N}$ moving an object $2 \text{ m}$ in the direction of the force.

Work is defined as $W = F \cdot d \cdot \cos(\theta)$. Here, $W = 50 \text{ N} \times 2 \text{ m} \times \cos(0^{\circ}) = 100 \text{ J}$.

If a cell has 46 chromosomes before mitosis , how many chromosomes will each daughter cell have after cytokinesis?

Mitosis is an equational division. Therefore, each daughter cell will contain the same number of chromosomes as the parent cell, which is 46.

Calculate the current ($I$) flowing through a $20 \, \Omega$ resistor with a potential difference of $10 \text{ V}$.

Using Ohm's Law , $V = IR$. Solving for $I$: $I = \frac{V}{R} = \frac{10 \text{ V}}{20 \, \Omega} = 0.5 \text{ A}$.

Determine the mass of solute required to prepare $500 \text{ mL}$ of a $0.5 \text{ M}$ solution of $NaCl$ (Molar mass = $58.5 \text{ g/mol}$).

Using $n = M \times V(L)$, $n = 0.5 \text{ mol/L} \times 0.5 \text{ L} = 0.25 \text{ moles}$. Mass $= n \times \text{Molar mass} = 0.25 \times 58.5 = 14.625 \text{ g}$.

Identify the mRNA codon transcribed from the DNA template sequence 3'-TAC-5' .

During transcription , DNA bases pair with RNA: $T \to A$, $A \to U$, $C \to G$. The 5'-AUG-3' mRNA codon is produced.

Calculate the kinetic energy of a $2 \text{ kg}$ object moving at $4 \text{ m/s}$.

Using the kinetic energy formula $KE = \frac{1}{2}mv^2$, we get $KE = \frac{1}{2} \times 2 \text{ kg} \times (4 \text{ m/s})^2 = 1 \times 16 = 16 \text{ J}$.

Determine the oxidation number of sulfur in $H_2SO_4$.

In $H_2SO_4$, $H$ is $+1$ and $O$ is $-2$. Let $S = x$. $2(1) + x + 4(-2) = 0 \implies 2 + x - 8 = 0 \implies x = +6$.

Solve the inequality $3x - 5 > 7$ for $x$.

Add 5 to both sides: $3x > 12$. Divide by 3: $x > 4$.

Determine the volume of an ideal gas at $STP$ if you have $2 \text{ moles}$ ($V_m = 22.4 \text{ L/mol}$).

Using $V = n \times V_m$, where $n = 2 \text{ moles}$ and $V_m = 22.4 \text{ L/mol}$, $V = 2 \times 22.4 = 44.8 \text{ L}$.

Core Scientific Principles For Imat Medical Entrance Exam Success Flashcards

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Core Scientific Principles for IMAT Medical Entrance Exam Success

This deck covers essential concepts and analytical problems in biology, chemistry, and physics required for the IMAT medical admissions exam.

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intermediate

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by @mahoor_alizadeh

Q: Calculate the probability of an offspring having a homozygous recessive genotype ($...

Q: Determine the pH of a $0.01 \text{ M}$ solution of a strong monoprotic acid ($HCl$)...

Q: Calculate the final velocity of an object in free fall after $3 \text{ s}$, assumin...

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