To determine the mass of neon contained in a rigid, 2.0 L

Chapter 16, Problem 44P

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QUESTION:

Problem 44P

To determine the mass of neon contained in a rigid, 2.0 L cylinder, you vary the cylinder’s temperature while recording the reading of a pressure gauge. Your data are as follows:

Temperature (°C)

Pressure gauge (atm)

100

6.52

150

7.80

200

8.83

250

9.59

Use the best-fit line of an appropriate graph to determine the mass of the neon.

Questions & Answers

QUESTION:

Problem 44P

To determine the mass of neon contained in a rigid, 2.0 L cylinder, you vary the cylinder’s temperature while recording the reading of a pressure gauge. Your data are as follows:

Temperature (°C)

Pressure gauge (atm)

100

6.52

150

7.80

200

8.83

250

9.59

Use the best-fit line of an appropriate graph to determine the mass of the neon.

ANSWER:

Step 1 of 3

We are going to find the mass of neon gas in a rigid cylinder. The pressure of the system is varied according to the temperature of the cylinder.

The volume of the cylinder \(\mathrm{V}=2 \mathrm{~L}=2 \times 10^{-3} \mathrm{~m}^{3}\)

The gas constant \(\mathrm{R}=8.314 \mathrm{~J} / \mathrm{mol} . \mathrm{K}\)

The molar mass of neon \(\mathrm{M}=20 \mathrm{~g} / \mathrm{mol}=20 \times 10^{-3} \mathrm{~kg} / \mathrm{mol}\)

 

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