Question

2.3: create simple mathematical models to represent chemical concepts.
directions: below there are five different question options (3a, 3b, 3c, 3d, and 3e). select three of the question options to answer. you must get all 3 questions correct and show your work to receive credit for this learning target. answering additional questions will not earn you additional credit.
3a. your pet hamster weighs 1.6 ounces. determine how many pounds does your hamster weigh?
answer: __________ units: ____
3b. ivan is attempting to determine the density of a glass marble. he measures the mass of the marble to be 42.3 g. he also determined the volume by displacement to be 15.3 ml. calculate the density of the marble. d = m/v (mass/volume)
answer: __________ units: ____
3c. if an atom has 6 protons and a mass number of 14, how many neutrons does this atom have?

Explanation:

3A Solution:

Step1: Recall the conversion factor

We know that \( 1 \text{ pound} = 16 \text{ ounces} \), so to convert ounces to pounds, we use the formula \( \text{Weight in pounds} = \frac{\text{Weight in ounces}}{16} \).

Step2: Substitute the given value

The hamster weighs \( 1.6 \) ounces. Substituting into the formula, we get \( \frac{1.6}{16} \).

Step3: Perform the division

\( \frac{1.6}{16}= 0.1 \).

Step1: Recall the density formula

The formula for density \( D \) is given by \( D=\frac{m}{v} \), where \( m \) is the mass and \( v \) is the volume.

Step2: Substitute the given values

We are given \( m = 42.3 \text{ g} \) and \( v=15.3 \text{ mL} \). Substituting these values into the formula, we get \( D=\frac{42.3}{15.3} \).

Step3: Perform the division

\( \frac{42.3}{15.3}\approx 2.76 \) (rounded to two decimal places).

Step1: Recall the formula for mass number

The mass number \( A \) of an atom is given by \( A = Z + N \), where \( Z \) is the number of protons and \( N \) is the number of neutrons. We need to solve for \( N \), so we rearrange the formula to \( N=A - Z \).

Step2: Substitute the given values

We are given \( A = 14 \) and \( Z = 6 \). Substituting these values into the formula, we get \( N=14 - 6 \).

Step3: Perform the subtraction

\( 14 - 6=8 \).

Answer:

\( 0.1 \) Units: pounds

3B Solution: