Answer to Question #138665 in General Chemistry for Maikee

Question

If 4g of hydrogen gas occupies 20L, what will be the volume of 33g of CO2 gas at the same conditions?

Answer 1

We know that dihydrogen (H₂) has 2 hydrogen atoms per molecule, so there will be 2 * 1g hydrogen per mole = 2g dihydrogen per mole. If there are 2g dyhydrogen per mole, and we have 4g, then we know 4g / 2g per mole = 2 mole dihydrogen in 4g. So n₁=2mole

So asusal 33g Co2=33/44 mole Co2

=0.75mole

So,n₂=0.75mole

Volume of hydrogen gas(V₁)=20L

Volume of Co2(V₂)=?

So from ideal gas equestion we can write

P₁V₁/n₁T₁=P₂V₂/n₂T₂

Here,the temperature and pressure are constant.so we can write this equation

V₁/n₁=V₂/n₂

20L/2mole=V₂/0.75mole

V₂=0.75mole*20L/2

V₂=7.5L

Hence the volume of CO2 is 7.5L