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calculate the pressure in atm of .68 mol of H at 298K and occupying 4.5 L

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Answer:

3.7 atm

General Formulas and Concepts:

Atomic Structure

  • Moles

Gas Laws

Ideal Gas Law: PV = nRT

  • P is pressure
  • V is volume
  • n is number of moles
  • R is gas constant
  • T is temperature

Explanation:

Step 1: Define

Identify variables

[Given] n = 0.68 mol H

[Given] T = 298 K

[Given] V = 4.5 L

[Given] R = 0.0821 L · atm · mol⁻¹ · K⁻¹

[Solve] P

Step 2: Find Pressure

  1. Substitute in variables [Ideal Gas Law]:                                                          P(4.5 L) = (0.68 mol)(0.0821 L · atm · mol⁻¹ · K⁻¹)(298 K)
  2. Multiply [Cancel out units]:                                                                               P(4.5 L) = (0.055828 L · atm · K⁻¹)(298 K)
  3. Multiply [Cancel out units]:                                                                               P(4.5 L) = 16.6367 L · atm
  4. Isolate P [Cancel out units]:                                                                             P = 3.69705 atm

Step 3: Check

Follow sig fig rules and round. We are given 2 sig figs as our lowest.

3.69705 atm ≈ 3.7 atm

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