Question

A 6.0-cm-diameter, 11-cm-long cylinder contains 100 mg of oxygen (O2) at a pressure less than 1 atm. The cap on one end of the cylinder is held in place only by the pressure of the air. One day when the atmospheric pressure is 100 kPa, it takes a 184 Nforce to pull the cap off.

What is the temperature of the gas?

Express your answer using two significant figures.

Step 1

Given: The mass of oxygen = 100 mg

Diameter = 6 cm

Length of tube = 11 cm

Atmospheric pressure, P_{atm} = 100 kPa

Force, F = 184 N

Find: The temperature of the gas

Step 2

Calculate the needful data:

Given mass of oxygen present = 100 mg = 100 × 10^{-3} g

Thus, moles of oxygen present, n = (100 × 10^{-3} )/32 = 3.125 × 10^{-3} moles

Also, given the diameter = 6 cm = 0.06 m

Thus, radius = 0.03 m

Calculate cross sectional area as:

Step 3

calculate, volume of th...

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