Question

2 moles of \(\mathrm{CO}_{2}\) gas contain the same number of atoms as moles of CO.

Short answer

Answer: 3 moles of CO gas contain the same number of atoms as 2 moles of CO2 gas.

Step-by-step solution

Calculate the number of atoms in 2 moles of CO2

First, we need to find the total number of atoms in 2 moles of CO2 gas. Let's consider that each CO2 molecule contains one carbon atom and two oxygen atoms. The total number of atoms in 1 mole of CO2 is: 1 (Carbon atom) + 2 (oxygen atoms) = 3 atoms Now, we need to find the total number of atoms in 2 moles of CO2 gas by multiplying the number of atoms in 1 mole by 2: 3 atoms * 2 moles = 6 atoms per mole

Calculate the number of atoms in 1 mole of CO gas

Next, we need to find the total number of atoms in 1 mole of CO gas. Each CO molecule contains one carbon atom and one oxygen atom, so: 1 (Carbon atom) + 1 (oxygen atom) = 2 atoms per mole of CO

Determine the number of moles of CO gas needed

Now we know the number of atoms per mole in both CO2 and CO gas, we need to determine the number of moles of CO gas that contains the same number of atoms as 2 moles of CO2. The total number of atoms in 2 moles of CO2 is 6, so we can set up the following equation: (number of moles of CO gas) × (number of atoms per mole of CO gas) = 6 atoms Let's use the variables n for the number of moles of CO gas and A for the number of atoms per mole of CO gas: n * 2 = 6 atoms Solve the equation for n: n = 6 atoms / 2 n = 3 moles Thus, 3 moles of CO gas contain the same number of atoms as 2 moles of CO2 gas.