Съдържание

IOM 2019, Експеримент — Задача 3. Exercise 1.3: Boyle-Mariotte’s Law

Оригинал на условието (PDF)Съобщи за грешка

Всички материали от IOM 2019

The 4th International Olympiad of Metropolises — Carbon Dioxide Solubility in Water

Recommendations Regarding the Experiment

There are two long exercises in the proposed experiment. Exercise 1.5 and exercise 2.1 in total may take more than three hours to complete. Consider this fact when allocating time and responsibilities to the participants during the experiment.

Условие

According to the Boyle-Mariotte law, additional pressure $\Delta p$ inside the tube is related to the volume $V$ of air in it:

p_0V_0 = (p_0 + \Delta p)V\,, \qquad (1)

where $V_0$ is the initial volume of gas inside the tube, $p_0$ is a certain constant.

Using the results of previous measurements, calculate the relationship between $\Delta p$ and $V_0/V$ and plot it. Determine the slope of the graph and its intercept. Find $p_0$ from the obtained data. Do not forget to take into account the initial additional pressure inside the tube, which appears when the 5-ml syringe is inserted into it.

Отговори

Решение

Exercise 1.3

$\Delta p$ , mmHg	$l$ , cm	$\dfrac{l_0}{l}$	$\dfrac{s_0}{s}$	$\dfrac{V_0}{V}$
-5.2	97.6	1.000	1.000	1.000
27.7	93.1	1.048	0.998	1.046
61.8	88.6	1.102	0.995	1.096
102.8	84.1	1.161	0.992	1.151
147	79.55	1.227	0.988	1.212
196	75.2	1.298	0.984	1.277
250.3	70.8	1.379	0.980	1.350

Slope of the graph: 730 mmHg

Graph intercept: –737 mmHg

Value of $p_0$ : 734±5 mmHg

Graph of $\Delta p$ versus $\dfrac{V_0}{V}$

Graph of Δp (−50 to 250) against v0/v (0.95 to 1.40) with seven points on a straight rising fitted line; error bars at the first and the last point.

Оригинал в Архива: phys-task-prak-iom-2019-en.pdf · официални решения: phys-solution-prak-iom-2019-en.pdf