Final answer:
A quality control chemist uses a syringe to measure accurate and precise dosages for testing. The syringe's capacity and dispensing rate are important for ensuring machines dispense the correct amount of cough syrup. Chemists calculate the area and flow rate for such tasks.
Step-by-step explanation:
A quality control chemist at a pharmaceutical company is tasked with ensuring that three different machines are accurately and precisely dispensing a set volume of cough syrup. In a real-life application, the chemist would need to use a syringe to measure out a precise dosage, for example when preparing samples for quality control tests. Let's say the required dosage for testing is 10 mL. To check the precision of the machines, the chemist could use the syringe to dispense the liquid into a calibrated container and then compare the volume against the expected volume.
In the scenario provided, the chemist has already completed measurements and has found varying results, which need to be analyzed for accuracy and precision. If there was a case where the chemist had to dispense a specific amount of 296 mL, they would need to perform the dispensing multiple times, due to the syringe's limited capacity, and then add up the total volume to ensure the correct dosage is achieved.
Example Calculation
Making Connections: Given a hypodermic syringe with a barrel diameter of 1.2 cm and a needle diameter of 2.4 mm, and a plunger speed of 4.0 mm/s, the chemist would calculate the flow rate in both the barrel and the needle of the syringe. After calculating the area (A) for each part and using the velocity (v), the flow rate Q (in mL/s) can be derived from the equation Q=A*v. This is crucial for determining the flow rate and velocity at which the liquid will emerge from the syringe.