Question

use the following information to answer question 6.

using a ramp, students test the effect of temperature on the viscosity of two 30 ml samples of corn syrup. each sample is heated to a different temperature. both samples are poured from the top of a 45 cm ramp. the time it takes for the corn syrup samples to flow to the bottom is recorded in the table below.

\

$$\begin{tabular}{|c|c|c|} \\hline & temperature (\\(^{\\circ}\\text{c}\\)) & time (s) \\\\ \\hline sample a & 22.0 & 55 \\\\ \\hline sample b & 46.2 & 32 \\\\ \\hline \\end{tabular}$$

1. sample b has a \\(i\\) viscosity than sample a, which causes the particles of corn syrup in sample b to flow \\(ii\\).

the statement above is best completed by the answers in row:

\

$$\begin{tabular}{|c|c|c|} \\hline row & \\(i\\) & \\(ii\\) \\\\ \\hline a. & lower & slower \\\\ \\hline b. & lower & faster \\\\ \\hline c. & higher & slower \\\\ \\hline d. & higher & faster \\\\ \\hline \\end{tabular}$$

Explanation:

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<reasoning>

Analyze the experimental data

Using the Viscosity knowledge point
\[

$$\begin{aligned} &\text{Sample A: } T = 22.0^\circ\text{C},\quad t = 55\text{ s}\\ &\text{Sample B: } T = 46.2^\circ\text{C},\quad t = 32\text{ s} \end{aligned}$$

\]

Compare flow times and viscosity

Using the Viscosity knowledge point
\[

$$\begin{aligned} &t_B < t_A \implies \text{Sample B flows faster than Sample A.}\\ &\text{Faster flow} \implies \text{Lower resistance to flow} \implies \text{Lower viscosity.} \end{aligned}$$

\]

Match the blanks to the options

Using the Viscosity knowledge point
\[

$$\begin{aligned} &\text{Blank } i: \text{lower}\\ &\text{Blank } ii: \text{faster}\\ &\text{Row B matches both blanks.} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>A. Row A (lower, slower)</mcq-option>
<mcq-correct>B. Row B (lower, faster)</mcq-correct>
<mcq-option>C. Row C (higher, slower)</mcq-option>
<mcq-option>D. Row D (higher, faster)</mcq-option>
</answer>

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Answer:

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<reasoning>

Analyze the experimental data

Using the Viscosity knowledge point
\[

$$\begin{aligned} &\text{Sample A: } T = 22.0^\circ\text{C},\quad t = 55\text{ s}\\ &\text{Sample B: } T = 46.2^\circ\text{C},\quad t = 32\text{ s} \end{aligned}$$

\]

Compare flow times and viscosity

Using the Viscosity knowledge point
\[

$$\begin{aligned} &t_B < t_A \implies \text{Sample B flows faster than Sample A.}\\ &\text{Faster flow} \implies \text{Lower resistance to flow} \implies \text{Lower viscosity.} \end{aligned}$$

\]

Match the blanks to the options

Using the Viscosity knowledge point
\[

$$\begin{aligned} &\text{Blank } i: \text{lower}\\ &\text{Blank } ii: \text{faster}\\ &\text{Row B matches both blanks.} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>A. Row A (lower, slower)</mcq-option>
<mcq-correct>B. Row B (lower, faster)</mcq-correct>
<mcq-option>C. Row C (higher, slower)</mcq-option>
<mcq-option>D. Row D (higher, faster)</mcq-option>
</answer>

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