Chapter U3, Problem 10RE

(a)

Interpretation Introduction

Interpretation :

The fact about the number of molecules present in nitrogen and hydrogen gas samples which are in 750 mL of rigid container along with same temperature and internal pressure must be explained.

Concept Introduction :

Avogadro’s hypothesis states that at same temperature and pressure equal volume of all gases will contain equal number of molecules.

Answer to Problem 10RE

Number of gas molecules of nitrogen and hydrogen will be same.

Explanation of Solution

Pressure of the two gases is same. Volume is 750 mL for both the gases.

Temperature is 250 K.

  $\text{PV=nRT}$

Thus from ideal gas equation it can be said that n (number of moles) will be same. So number of molecules ( ${\text{n×N}}_{\text{A}}$ ) will be same where N_A is Avogadro’s number.

b)

Interpretation Introduction

Interpretation :

The container that will have greater mass among nitrogen and hydrogen gas samples in 750 mL along with same temperature and internal pressure must be explained.

Concept Introduction :

Avogadro’s hypothesis states that at same temperature and pressure equal volume of all gases will contain equal number of molecules.

For same mole gas higher the molecular weight greater is the mass.

Answer to Problem 10RE

Container with nitrogen gas will have greater mass.

Explanation of Solution

Pressure of the two gases is same. Volume is 750 mL for both the gases.

Temperature is 250 K.

  $\text{PV=nRT}$

Thus from ideal gas equation it can be said that n (number of moles) will be same. So number of molecules ( ${\text{n×N}}_{\text{A}}$ ) will be same where N_A is Avogadro’s number.

Moles of the two gases are same. But molecular weight of nitrogen gas is 28 whereas molecular weight of hydrogen gas is 2.

So, container with nitrogen gas will have greater mass.