DATA AND CALCULATIONS PROCESSING THE DATA With the best-fit curve still displaye

Question

DATA AND CALCULATIONS PROCESSING THE DATA With the best-fit curve still displayed, choose interpolate from the Analyze menu. A vertical cursor now appears on the graph. The cursor's volume and pressure coordinates are displayed in the floating box. Move the cursor along the regression line until the volume value is 5.0 mL. Note the corresponding pressure value. Now Move the cursor until the volume value is doubled (100 mL). What does your data show happens to pressure when the volume is doubled? Show the pressure values in your answer. Using the same technique as in Question 1, what does your data show happens to the pressure if the volume is halved from 20.0 mL to 10.0 mL? Show the pressure values in your answer. Using the same technique as in Question 1, what does your data show happens to the pressure if the volume is tripled from 5.0 mL to 15.0 mL? Show the pressure values in your answer. From your answers to the first three questions and the shape of the curve in the plot of pressure vs. volume, do you think the relationship between the pressure and volume of a confined gas is direct or inverse? Explain your answer. Based on your data, what would you expect the pressure to be if the volume of the syringe was increased to 40.0 mL? Explain or show work to support your answer. Based on your data, what would you expect the pressure to be if the volume of the syringe was increased to 2.5 mL? Explain or show work to support your answer.

Explanation / Answer

We can plot the data in excel

We will plot graph between Pressure and 1/V

The graph will be

The linear equation is

y = 11.62x - 0.061

Where x = 1/V and y = Pressure

1) Volume = 10mL , 1/V = 0.1

Pressure = ?

Pressure = y = 11.62 X 0.1 - 0.061 = 1.065 atm

The pressure at volume = 5mL was 1.97

So yes it almost becomes half on doubling the volume

2) If volume is halved ,

intial volume = 20mL

Pressure = y = 11.62 X 0.05 - 0.061 = 0.52

So on making volume half, 10mL Pressure becomes =1.065 atm

So it doubles

3) Now let us put Volume = 15mL   1/V = 1/15 = 0.067

Pressure = y = 11.62 X 0.067 - 0.061 = 0.7175 atm

The pressure at 5mL = 1.97

So when volume is tripled the pressure becomes = almost 1/3 rd

4) The relation is inverse

5) Volume of syringe = 40mL 1/V = 1/40 = 0.025

Pressure = y = 11.62 X 0.025 - 0.061 = 0.2295 atm

6) if volume is decreased to 2.5mL 1/V = 0.4

Pressure = y = 11.62 X 0.4 - 0.061 = 4.587

Volume Pressure Constant 1/Volume 5.8 1.97 11.426 0.172414 7.8 1.4 10.92 0.128205 9.8 1.11 10.878 0.102041 11.8 0.91 10.738 0.084746 13.8 0.77 10.626 0.072464 15.8 0.7 11.06 0.063291 19.8 0.54 10.692 0.050505

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