Question 5
3 p
a gas cylinder with a volume of 15,0 liters contains 1.75 moles of nitrogen gas at 17.50c. what is the pressure inside the cylinder?
show all of your work for the following problems, including unit conversions, for full credit. pay attention to the significant digits and the units.

The pressure inside the cylinder will be 2.78 atm. The pressure can be calculated using the Ideal Gas Equation which relates the pressure, volume, temperature, and amount of gas to each other.  

Further Explanation

The Ideal Gas Equation is:  

where:

P - pressure (in atm)

V - volume (in L)

n - amount of gas (in moles)

R - universal gas constant

T - temperature (in K)

In the problem, we are given the values:

P = ?

V = 15.0 L (3 significant figures)

n = 1.75 moles N2 ( 3 significant figures)

T = 17.50 degrees Celsius (4 significant figures)

We need to convert the temperature to Kelvin before we can use the Ideal Gas Equation. The formula to convert from degree Celsius to Kelvin is:

Therefore, for this problem,

Solving for P using the Ideal Gas Equation:

The least number of significant figures is 3, therefore, the final answer must have only 3 significant figures (P = 2.78 atm).

Learn More

1. Learn more about Boyle's Law  

2. Learn more about Charles' Law

3. Learn more about Avogadro's Law

Keywords: Ideal Gas Law, Gas Pressure

explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.