# Calculating Molar Mass of a Gas Using Ideal Gas Law

## Explanation:

We can use the Ideal Gas Law to solve this problem:

**pV = nRT**

## Given Data:

**p** = 0.998 atm

**V** = 0.153 L

**T** = 26Â°C

**m** = 0.0494 g

## 1. Convert Temperature to Kelvins:

T = (26 + 273.15) K = 299.15 K

## 2. Calculate the Number of Moles:

0.998 atm * 0.153 L = n * 0.08206 LÂ·atmÂ·K^{-1}Â·mol^{-1} * 299.15 K

0.1527 = n * 24.55 mol^{-1}

n = 0.1527 / 24.55 mol^{-1} = 6.220 Ã 10^{-3} mol

## 3. Calculate the Molar Mass:

Molar mass = mass / moles

M = m / n

M = 0.0494 g / 6.220 Ã 10^{-3} mol

M = **7.94 g/mol**

Therefore, the molar mass of the gas is **7.94 g/mol**.