Here's why:
* Ideal Gas Law: The relationship between volume (V), pressure (P), temperature (T), and the amount of gas (n) is described by the Ideal Gas Law: PV = nRT
* R is the ideal gas constant (0.0821 L·atm/mol·K)
* Molar Mass: To convert the amount of gas (n) in moles to mass (in grams), you need the molar mass (g/mol) of the gas. Each gas has a unique molar mass.
Here's how to solve the problem if you know the identity of the gas:
1. Convert units:
* Convert temperature to Kelvin: 68°C + 273.15 = 341.15 K
* Convert pressure to atmospheres: 672 mmHg / 760 mmHg/atm = 0.884 atm
2. Use the Ideal Gas Law:
* Rearrange the equation to solve for n: n = PV/RT
* Plug in the values: n = (0.884 atm)(36.52 L) / (0.0821 L·atm/mol·K)(341.15 K)
* Calculate the number of moles (n)
3. Find the mass:
* Multiply the number of moles (n) by the molar mass of the gas to get the mass in grams.
Example:
Let's say the gas is oxygen (O₂). The molar mass of oxygen is 32.00 g/mol.
1. You would calculate the number of moles (n) as described above.
2. Then multiply the number of moles by 32.00 g/mol to find the mass of oxygen in grams.
Let me know the identity of the gas, and I can calculate the amount for you!