Answer:
40.05 liters
Step-by-step explanation:
To calculate the volume of CO2 gas at STP, we need to use the ideal gas law. The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
At STP (Standard Temperature and Pressure), the temperature is 0°C or 273.15 K, and the pressure is 1 atmosphere (atm) or 101.3 kPa.
First, let's calculate the number of moles of CO2 gas:
Number of moles (n) = Mass / Molar mass
The molar mass of CO2 is calculated by summing the atomic masses of carbon (C) and two oxygen (O) atoms from the periodic table:
Molar mass of CO2 = (12.01 g/mol) + 2 * (16.00 g/mol) = 44.01 g/mol
Now, substitute the given mass of CO2 gas (78.1 g) and the molar mass (44.01 g/mol) into the equation:
Number of moles (n) = 78.1 g / 44.01 g/mol ≈ 1.775 mol
Next, substitute the values into the ideal gas law equation:
PV = nRT
(1 atm) * V = (1.775 mol) * (0.0821 L·atm/(mol·K)) * (273.15 K)
V = (1.775 mol * 0.0821 L·atm/(mol·K) * 273.15 K) / 1 atm
V ≈ 40.05 L
Therefore, the volume of CO2 gas at STP is approximately 40.05 liters.