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Question

Given what you now know about the ideal gas law, consider an investigation to determine the identity of an unknown pure gas.

a. What would be an appropriate beginning question for this investigation?

b. What variables would you need to measure?

c. What variables, if any, would you need to control?

d. How could you measure each of the variables?

Solution

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At first, we can recall the ideal gas equation, which is shown below.

P×V=n×R×TP \times V = n \times R \times T

Our task is to consider investigation to identify unknown gas.

To identify unknown gas, we have to determine molecular mass of the gas. At first, we should calculate n and using it we can calculate M and determine unknown gas. The calculation is shown below.

n=P×VR×Tn = \dfrac{P \times V}{R \times T}

n=mMn = \dfrac{m}{M}

M=mnM = \dfrac{m}{n}

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