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91Ó°ÊÓ

A tube contains the following: Serum \(0.25 \mathrm{~mL}\), Saline \(0.75 \mathrm{~mL}\). Antigen \(1 \mathrm{~mL}\). What is the serum dilution? a. \(1: 2\) b. \(1: 4\) c. \(1: 7\) d. 1:8 e. \(1: 16\)

Short Answer

Expert verified
The serum dilution is 1:8.

Step by step solution

01

- Determine total volume

Add the volumes of serum, saline, and antigen to find the total volume.
02

- Calculation

Total volume = Serum volume + Saline volume + Antigen volume. So, Total volume = 0.25 mL + 0.75 mL + 1 mL = 2 mL.
03

- Find dilution ratio

The dilution ratio of the serum is the volume of serum divided by the total volume. Thus, the ratio is \(\frac{0.25 \text{ mL}}{2 \text{ mL}} = \frac{1}{8}\).
04

- Express dilution as ratio

The dilution is expressed as 1 part serum to 7 parts other liquids (saline and antigen). Therefore, the serum dilution is 1:8.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

clinical chemistry
Clinical chemistry involves analyzing bodily fluids, like blood and serum, to diagnose and monitor diseases. This field uses chemical processes to measure concentrations of various substances in these fluids.
In this exercise, we focus on calculating the dilution of serum, which is an essential technique in clinical chemistry.
Understanding serum dilution helps in preparing samples for tests accurately. Miscalculations can lead to incorrect test results.
  • Lower dilution means a higher concentration of serum.
  • Higher dilution indicates a lower concentration of serum in the mixture.
Accurate dilution is crucial for reliable and reproducible test outcomes.
dilution ratio
The dilution ratio represents the proportion of one substance to the total volume of the mixture.
In this exercise, we mixed serum with saline and antigen. The goal is to find the dilution ratio of the serum.
To find the dilution ratio, follow these steps:
  • First, determine the total volume of the mixture.
  • Next, calculate the ratio of serum volume to the total volume.
In our example, we added the volumes: 0.25 mL of serum, 0.75 mL of saline, and 1 mL of antigen. Summing these gives a total volume of 2 mL.
The dilution ratio is then calculated: the serum volume (0.25 mL) over the total volume (2 mL), giving us a ratio of \(\frac{1}{8}\). This ratio means one part of serum is present for every eight parts of the mixture.
step-by-step calculation
Understanding step-by-step calculation makes complex problems simpler. Let's break down the serum dilution calculation again:
Step 1 - Determine the total volume:
Add the volumes of all components: serum (0.25 mL), saline (0.75 mL), and antigen (1 mL). The total volume is 2 mL.
Step 2 - Find the dilution ratio:
The dilution ratio is the volume of serum divided by the total volume. So, the calculation is \(\frac{0.25 \text{ mL}}{2 \text{ mL}} \) , which simplifies to \(\frac{1}{8}\).
Step 3 - Express dilution as ratio:
Expressing this as a ratio, we have 1 part serum to 7 parts of other liquids (saline and antigen).
Therefore, the serum dilution ratio is 1:8. This clear, step-by-step method ensures accuracy in clinical tests.

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