Q. 8.64 - An Introduction to General, Organic, and Biological Chemistry

Question

Two flasks of equal volume and at the same temperature contain different gases. One flask contains $5.0 g of H_2$. Is each of the following statements true or false? Explain. $\left(8.1\right)$

a. Both flasks contain the same number of molecules.

b. The pressure in the the flasks are the same.

Step-by-Step Solution

Answer

a. The statement both flasks contain the same number of molecules is false.

b. The statement  the pressure in the flasks is the same is false.

Part (a) step 1: Given Information

We need to find the given statement both flasks contain the same number of molecules is true or false.

Part (a) step 2: Simplify

Here,

Number of molecule$=\left(\raisebox{1ex}{$mass$}\!\left/ \!\raisebox{-1ex}{$molarmass$}\right.\right)A_a$

Mass is the same therefore the number of molecules is inversely related to the molar then $H_2$ has more molecules.

Then, the statement is false.

Part (b) step 1: Given Information

We need to find the given statement whether the pressure in the flasks are the same is true or false.

Part (b) step 2: Simplify

$V$ and $T$ is same therefore, pressure is directly related to the number of moles and

$mole=\raisebox{1ex}{$mass$}\!\left/ \!\raisebox{-1ex}{$molar mass$}\right.$

Therefore, pressure inversely related to molar mass and $O_2$ has more molar mass then less pressure.

Then, the statement is false.