When an evacuated 63.8-mL glass bulb is filled with a gas

Chapter 6, Problem 36P

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QUESTION: When an evacuated 63.8-mL glass bulb is filled with a gas at 22°C and 747 mmHg, the bulb gains 0.103 g in mass. Is the gas \(N_2\), Ne, or Ar?

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QUESTION: When an evacuated 63.8-mL glass bulb is filled with a gas at 22°C and 747 mmHg, the bulb gains 0.103 g in mass. Is the gas \(N_2\), Ne, or Ar?

ANSWER:

 

Step 1 of 2

Here, we have to identify the  gas.

 

According to the Avogadro’s law the density of a gas is directly proportional to its molar mass .

According to the Charles law the density of gas inversely proportional to the temperature.

Let’s write the formula for ideal gas density formula:

\(d=\frac{M P}{R T}\)

Rearrange the formula is as follows.

\(M=\frac{R T}{P} \times d\)

d = Ideal gas density in kg/L.

M= Molar mass of gas

P = Pressure of the gas

R = Gas constant

T = Absolute temperature in K.

 

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