Question

To "afterburn" 100 g of CO to CO2 in a platinum-palladium catalytic honeycomb requires the consumption of 57.2 g of O2. How many kilograms of O2 are needed to afterburn 85 kg of CO?

Answer 1

To calculate the oxygen required to afterburn 85 kg of CO, we use the ratio given for 100 g of CO and 57.2 g of O2, which is 0.1 kg CO to 0.0572 kg O2. By cross-multiplication, we find that 48.62 kg of O2 are needed to afterburn 85 kg of CO.

Step-by-step explanation:

To find out how many kilograms of O2 are needed to afterburn 85 kg of CO, we can set up a ratio based on the information provided: if 100 g of CO requires 57.2 g of O2, we can calculate the amount needed for 85 kg of CO.

First, convert the given amounts into consistent units. Since we're looking for kilograms, let's convert 100 g of CO to 0.1 kg and 57.2 g of O2 to 0.0572 kg.

The ratio is as follows:

• 0.1 kg CO : 0.0572 kg O2
• 85 kg CO : x kg O2

Using cross-multiplication, we can solve for x:

0.1 kg CO / 0.0572 kg O2 = 85 kg CO / x kg O2

x = (85 kg CO * 0.0572 kg O2) / 0.1 kg CO

x = 48.62 kg O2

So, to afterburn 85 kg of CO, 48.62 kg of O2 are required.