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Question 20 A chamber of unknown volume is filled with an unknown amount of ideal gas....

Question 20

A chamber of unknown volume is filled with an unknown amount of ideal gas. A cylinder with an open bottom and calibrated volume is connected to the chamber and is closed with a movable piston. A gas pressure sensor is also mounted on the chamber as shown in (Figure 1). The whole experimental setup is kept at a constant temperature of 300 K. Doris moves the piston from mark 0 to mark 200 mL in steps of 50 mL and records the corresponding pressure in the chamber (see the table below). She moves the piston very slowly and waits several minutes before recording the pressure values.

VCyl(mL) P(105N/m2)
0 4.35
50 3.85
100 3.50
150 3.15
200 2.90

Determine the number of moles of gas. (Note: This is a problem that requires linearization of data.)

Express your answer in moles to one significant figure.

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