---
title: "An experiment is conducted to determine the relative molar masses of two pure gases, Gas \\(\\text{X}\\) and Gas \\(\\text{Y}\\). In identical rigid containers maintained at the same constant temperature and initial pressure, a sample of Gas \\(\\text{X}\\) effuses through a pinhole into a vacuum in \\(25\\text{ s}\\). Under identical experimental conditions, an equal number of moles of Gas \\(\\text{Y}\\) requires \\(50\\text{ s}\\) to effuse through the same pinhole. Assuming both gases exhibit ideal behavior, what is the ratio of the molar mass of Gas \\(\\text{Y}\\) to the molar mass of Gas \\(\\text{X}\\) \\(\\left(\\dfrac{M_{\\text{Y}}}{M_{\\text{X}}}\\right)\\)?"
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url: "https://nerd-notes.com/ubq/119640/"
date_modified: "2026-08-21T08:11:54+00:00"
---

# An experiment is conducted to determine the relative molar masses of two pure gases, Gas \(\text{X}\) and Gas \(\text{Y}\). In identical rigid containers maintained at the same constant temperature and initial pressure, a sample of Gas \(\text{X}\) effuses through a pinhole into a vacuum in \(25\text{ s}\). Under identical experimental conditions, an equal number of moles of Gas \(\text{Y}\) requires \(50\text{ s}\) to effuse through the same pinhole. Assuming both gases exhibit ideal behavior, what is the ratio of the molar mass of Gas \(\text{Y}\) to the molar mass of Gas \(\text{X}\) \(\left(\dfrac{M_{\text{Y}}}{M_{\text{X}}}\right)\)?

An experiment is conducted to determine the relative molar masses of two pure gases, Gas \(\text{X}\) and Gas \(\text{Y}\). In identical rigid containers maintained at the same constant temperature and initial pressure, a sample of Gas \(\text{X}\) effuses through a pinhole into a vacuum in \(25\text{ s}\). Under identical experimental conditions, an equal number of moles of Gas \(\text{Y}\) requires \(50\text{ s}\) to effuse through the same pinhole. Assuming both gases exhibit ideal behavior, what is the ratio of the molar mass of Gas \(\text{Y}\) to the molar mass of Gas \(\text{X}\) \(\left(\dfrac{M_{\text{Y}}}{M_{\text{X}}}\right)\)?

- **A.** \(0.25\)
- **B.** \(0.50\)
- **C.** \(2.0\)
- **D.** \(4.0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119640/*