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oksian1 [2.3K]
2 years ago
12

A 0.334 g sample of an unknown compound occupies 245 ml at 298 K and 1.22 atm. What is the molar mass of the unknown compound.

Chemistry
1 answer:
marysya [2.9K]2 years ago
6 0

Answer:

27.4 g/mol

Explanation:

Assuming the compound is a gas and that it behaves ideally, we can solve this problem by using the <em>PV=nRT formula</em>, where:

  • P = 1.22 atm
  • V = 245 mL ⇒ 245 mL / 1000 = 0.245 L
  • n = ?
  • R = 0.082 atm·L·mol⁻¹·K⁻¹
  • T = 298 K

<u>Inputting the data</u>:

  • 1.22 atm * 0.245 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 298 K

<u>Solving for n</u>:

  • n = 0.0122 mol

With the <em>calculated number of moles and given mass</em>, we <u>calculate the molar mass</u>:

  • 0.334 g / 0.0122 mol = 27.4 g/mol
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