Questions: Calculate the volume occupied by 0.627 mol of nitrogen gas at a pressure of 1.06 atm and a temperature of 287 K .

Calculate the volume occupied by 0.627 mol of nitrogen gas at a pressure of 1.06 atm and a temperature of 287 K .
Transcript text: Calculate the volume occupied by 0.627 mol of nitrogen gas at a pressure of 1.06 atm and a temperature of 287 K .
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Ideal Gas Law

The Ideal Gas Law is given by the equation: \[ PV = nRT \] where:

  • \( P \) is the pressure,
  • \( V \) is the volume,
  • \( n \) is the number of moles,
  • \( R \) is the ideal gas constant,
  • \( T \) is the temperature in Kelvin.
Step 2: Assign Given Values

From the problem, we have:

  • \( n = 0.627 \) mol,
  • \( P = 1.06 \) atm,
  • \( T = 287 \) K.

The ideal gas constant \( R \) is \( 0.0821 \) L·atm/(mol·K).

Step 3: Rearrange the Ideal Gas Law to Solve for Volume

Rearrange the equation to solve for \( V \): \[ V = \frac{nRT}{P} \]

Step 4: Substitute the Given Values into the Equation

Substitute the values into the equation: \[ V = \frac{(0.627 \, \text{mol}) (0.0821 \, \text{L·atm/(mol·K)}) (287 \, \text{K})}{1.06 \, \text{atm}} \]

Step 5: Calculate the Volume

Perform the calculation: \[ V = \frac{(0.627) (0.0821) (287)}{1.06} \] \[ V = \frac{14.7357}{1.06} \] \[ V \approx 13.9007 \, \text{L} \]

Final Answer

The volume occupied by 0.627 mol of nitrogen gas at a pressure of 1.06 atm and a temperature of 287 K is: \[ \boxed{13.9007 \, \text{L}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
45-50 Find an expression for the function whose graph is the given curve. 45. The line segment joining the points (1,-3) and (5,7) 46. The line segment joining the points (-5,10) and (7,-10) 47. The bottom half of the parabola x+(y-1)^2=0
failedAnswered
A. lateral pterygoid process B. perpendicular plate C. styloid process D. lesser wing E. manubrium
failedAnswered
Assume an economy where there are two producers: a computer components producer and a computer producer. Assume the computer components producer makes 3,000,000 worth of computer components in the current year, while incurring costs of 1,500,000 in labor and 500,000 in taxes. Suppose the computer components company sells all its product to the computer producer who builds five supercomputers. The costs of the computer producer include 3,000,000 in computer components, 800,000 in labor, and 200,000 in taxes. Suppose that the computer producer sells two of the supercomputers for 1,000,000 each to the domestic government, 1 supercomputer for 1,000,000 to a foreign government, and at the end of the year it had not sold the fourth and fifth computer. The unsold computers are carried on the computer manufacturer's books as an 2,000,000 increase in inventory. Using the income approach, what is the total cost for the computer producer? 5,000,000 4,000,000 3,000,000 2,000,000 1,000,000
failedAnswered
Question 5 5 pts Read the excerpt from The Odyssey. I shall not see on earth a place more dear, though I have been detained long by Calypso, loveliest among goddesses, who held me in her smooth caves, to be her heart's delight, as Circe of Aeaea, the enchantress, desired me, and detained me in her hall. But in my heart I never gave consent. Where shall a man find sweetness to surpass his own home and his parents? In far lands he shall not, though he find a house of gold. What characteristics of Odysseus, the story's epic hero, are most shown in this excerpt knowledge and strength confidence and courage leadership and perseverance character and loyalty
failedAnswered
An alcohol server must complete an ABC approved RBS training program and pass an ABC administered exam within calendar days of employment. a. 45 b. 60 c. 90 d. 30