How to Calculate Rate of Volume Change
Rate of volume change [tex]\left(\frac{ mL }{ hr }\right)=\frac{\text { final volume }( mL ) \text {-initial volume }( mL )}{\text { Time }( min )} \times 60\left(\frac{min}{ hr }\right)[/tex]
Answer (2)
Identify the initial volume V ini t ia l , final volume V f ina l , and the time interval Δ t in minutes.
Apply the formula: R a t e = Δ t V f ina l − V ini t ia l × 60 .
Calculate the rate of volume change in mL/hr.
The rate of volume change represents how quickly the volume changes over time. R a t e (mL/hr)
Explanation
Understanding the Problem We are given a table with time and volume measurements for two tubes, one exposed to white light and the other covered. The goal is to explain how to calculate the rate of volume change for each tube. The formula for the rate of volume change is provided.
Identifying Variables To calculate the rate of volume change, we need to identify the initial and final volumes and the corresponding time interval. Let's denote the initial volume as V ini t ia l , the final volume as V f ina l , and the time interval as Δ t .
Applying the Formula The formula for the rate of volume change is given as: R a t e = Δ t V f ina l − V ini t ia l × 60 where the rate is in mL/hr, the volumes are in mL, and the time is in minutes.
Calculating the Rate of Volume Change For example, suppose for Tube 1 (White Light) we have the following data: Initial volume: V ini t ia l = 10 mL at time t ini t ia l = 0 min Final volume: V f ina l = 15 mL at time t f ina l = 10 min Then, Δ t = t f ina l − t ini t ia l = 10 − 0 = 10 min .
Using the formula, the rate of volume change is: R a t e = 10 min 15 mL − 10 mL × 60 = 10 5 × 60 = 30 mL/hr
Applying to Tube 2 Similarly, we can apply the same procedure to Tube 2 (Covered) using its initial and final volumes and the corresponding time interval.
Final Calculation Therefore, to calculate the rate of volume change, simply plug in the initial and final volumes and the time interval into the provided formula and perform the calculation.
Examples
Understanding the rate of volume change is crucial in various scientific experiments, such as measuring the rate of gas production in a chemical reaction or monitoring the evaporation rate of a liquid. For instance, in a biology lab, you might track the oxygen production rate of algae under different light conditions. By calculating the rate of volume change, you can quantitatively analyze how different factors affect the process being studied, providing valuable insights into the underlying mechanisms.
To calculate the rate of volume change, first identify the initial and final volumes and the time interval in minutes. Then, apply the formula R a t e = Δ t V f ina l − V ini t ia l × 60 to find the rate in mL/hr. This method is useful in various scientific experiments to measure how quickly a volume changes over time.
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