50cm3 of CO is mixed and sparked with 200cm3 of air containing 20% of O2 if all the volume are measure at stp calculate the total volume of the residual gases
To calculate the total volume of the residual gases, we need to determine the volume of each gas remaining after the reaction has taken place.
First, we need to convert the volumes to a standard temperature and pressure (STP) condition. STP is typically defined as 0 degrees Celsius (273.15 Kelvin) and 1 atmosphere (101.325 kilopascals).
Let's start by calculating the volume of CO and O2 in the initial mixture before the reaction:
Volume of CO = 50 cm³ (given)
Volume of O2 in air = 20% of 200 cm³ = 0.20 * 200 cm³ = 40 cm³
Now we can calculate the volume of the residual gases:
1. The reaction between CO and O2 produces CO2. According to the balanced chemical equation, 1 volume of CO reacts with 1 volume of O2 to produce 1 volume of CO2.
Therefore, the volume of CO2 produced will be the minimum of the volumes of CO and O2 present. In this case, it is 40 cm³ (the volume of O2).
2. The remaining volume of CO will be the original volume of CO minus the volume of CO2 produced. So, the remaining volume of CO = 50 cm³ - 40 cm³ = 10 cm³.
3. The remaining volume of air (residual gases other than CO2) will be the original volume of air minus the volume of O2 consumed. So, the remaining volume of air = 200 cm³ - 40 cm³ = 160 cm³.
4. Finally, to calculate the total volume of the residual gases, add the remaining volumes of CO and air: 10 cm³ + 160 cm³ = 170 cm³.
Therefore, the total volume of the residual gases is 170 cm³.