A truck has 5.9L diesel engine in it. 5.9L of the overall displacement in 6 cylinders each 102mm bore (diameter) and 120mm stroke (length). Engine operates at 16.3:1 compression ratio and with 6psi (0.41atm) of boost cruising at 1600rpm.
1.) The air mixture has an average molecular weight of 28.8g/mol, calculate the mass of in grams of the air. Air is 21% O2 by weight. Calculate the weight and moles of oxygen. The fuel, disel (C12H23) is in excess.
To calculate the mass of air in grams, we need to consider the molecular weight of air and the percentage of oxygen in air.
1. Find the molecular weight of air:
The molecular weight of air is the average molecular weight of all the gases present in air, considering their respective proportions. Given that the average molecular weight of the air mixture is 28.8g/mol, we can use this value to solve for the mass.
2. Calculate the weight and moles of oxygen:
Since air is 21% O2 by weight, we can use this percentage to calculate the weight and moles of oxygen present in the air.
Let's calculate each step.
Step 1: Calculating the molecular weight of air mixture
Given that the average molecular weight of the air mixture is 28.8g/mol, this value includes the weight percentages of all the gases. To calculate the mass of air, we need to convert this molecular weight from grams/mol to grams.
Since 1 mole of any gas has Avogadro's number of molecules (which is approximately 6.022 x 10^23), the molecular weight in grams/mol is equal to the mass of each molecule in grams.
Therefore, the mass of air is equal to the molecular weight of air × Avogadro's number.
Mass of air = 28.8g/mol × 6.022 x 10^23 molecules/mol
Step 2: Calculating the weight and moles of oxygen
Given that air is 21% O2 by weight, we can calculate the weight and moles of oxygen.
Weight of oxygen = Mass of air × Percentage of O2 in air
Moles of oxygen = Weight of oxygen / Molecular weight of oxygen
Now let's plug in the values and calculate the results.
Weight of oxygen = Mass of air × 0.21
Moles of oxygen = Weight of oxygen / 32g/mol (molecular weight of O2)
Finally, to find the mass of air in grams and the weight and moles of oxygen, you will need to know the specific value of the mass of air in step 1.