Final answer:
The mass of 600 cc of gas at 25 degrees Celsius and 770mm pressure can be calculated using the ideal gas law equation. By calculating the number of moles and using the molar mass of carbon dioxide, we can find the mass of the gas. The mass is approximately 1.9 g.
Step-by-step explanation:
The molecular mass of carbon dioxide is 44.01 amu. To calculate the mass of 600 cc of gas at 25 degrees Celsius and 770mm pressure, we need to use the ideal gas law equation:
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.
In this case, we are given the volume (600 cc or 0.6 L), temperature (25 degrees Celsius or 298 K), and pressure (770 mm or 0.77 atm). We can plug these values into the equation and solve for the mass:
mass = (n x molar mass) / PV
First, we need to find the number of moles. We can use the ideal gas equation to convert the pressure and volume to moles:
n = PV / RT
Next, we can calculate the mass using the formula:
mass = (n x molar mass) / PV
Substituting the values into the equation:
mass = (n x 44.01 g/mol) / (0.6 L x 0.77 atm)
After calculating the value of n, we can plug it into the equation:
mass = (0.0257 moles x 44.01 g/mol) / (0.6 L x 0.77 atm)
Solving the equation gives us the mass of 600 cc of gas:
mass = 1.9 g