Interpretation: The true statements for a balloon filled with 1.00 mol nitrogen gas at STP need to be identified.
Concept Introduction: The equation for an ideal gas is as follows:
Here, P is pressure, V is volume, n is the number of moles, R is the Universal gas constant and T is temperature.
Also, the number of moles is related to mass and molar mass as follows:
Here, m is mass and M is molar mass.
Answer to Problem 6STP
Explanation of Solution
Reason for correct option:
At STP, the volume of the balloon can be calculated as follows:
Or,
The standard temperature and pressure values are
Thus, the volume of the balloon is 22.4 L. Therefore, the statement I is true.
Now, the number of moles of nitrogen gas in the balloon is 1 mol and the molar mass of nitrogen gas is 28 g/mol; thus, the mass of nitrogen gas will be:
Putting the values,
Thus, the mass of content in the balloon is 28 g. Therefore, statement II is not true.
According to Avogadro’s law, 1 mol of any substance contains
The true statements are statements I and III only. Therefore, option (C) is the correct option.
Reason for incorrect options:
Since only statement I is not true both statements I and III are true, thus, option (A) is the incorrect option.
Statement II is not true; thus, option (B) and option (D) are incorrect options.
Chapter 10 Solutions
Chemistry 2012 Student Edition (hard Cover) Grade 11
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