In: Statistics and Probability
1)Dr. Colibrí studies hummingbirds. Each bird requires approximately 11.47 milliliters of nectar every day to stay alive. Synthetic nectar solution is made by mixing 20%(vol/vol) sucrose with 80%(vol/vol) water. Sucrose, common table sugar, has a density of 1.59 g/mL.
How many grams of sugar does Dr. Colibri need to keep 3 hummingbirds alive for 59 days?
Assumption:
When mixing 1 part sugar with 4 parts water, the combined volume does not change. e.g. 200 mL of sugar combined with 800 mL water will produce 1000 mL of nectar. This is technically untrue, but it is close enough for our purposes.
2)
Dr. Zinnert is studying coastal plant ecology using remote sensing data. Satalite images enable her to deduce land coverage on coastal barrier islands on the coast of Virginia.
Given the table below, what percent of barrier island is bare earth?
Report your answer to two decimal places and carry out all calculations in a single step using Excel to prevent accruing rounding error.
Ground Cover | km2 |
Trees | 2.5 |
Shrubs | 3 |
Grass | 3.9 |
Bare Earth | 2 |
3)To what volume (in mL) should 7.72 mL of an 9.67 M acetic acid solution be diluted in order to obtain a final solution that is 2.71 M?
4)When 0.07L of a solution containing 1.82M BaF2 is diluted to 0.7L, what is the concentration of BaF2 in the new solution?