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Which two samples of gas at STP contain the same total number of molecules?

Which two samples of gas at STP contain the same total number of molecules?-example-1
User Dulan
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2 Answers

4 votes
D would be your answer.
User Jason Stonebraker
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2 votes

Answer:

D) 2L of H2 & 2L of Cl2

Step-by-step explanation:

As according to universal gas law,

PV=nRT

V=nRT/P

For STP condition, T=273.15K, P=1atm n= 1mole

R=0.0819 L atm / mol K

V= 1*0.082*273.15/1 = 22.4 L

So 1 mole of gas at STP has 22.4L of volume

we know, No. of molecules= no of moles* Avogadro's Number

A) 1L of CO & 0.5L of N2

1L of CO:

Number of moles in 22.4L of CO = 1

Number of moles in 1L of CO = 1/22.4=0.045 moles

Number of molecules in 1L of CO= 0.045*Avogadro's Number

0.5L of N2

Number of moles in 22.4L of N2= 1

Number of moles in 0.5L of N2= 1/22.4=0.022 moles

Number of molecules in 0.5L of N2= 0.022*Avogadro's Number

So both are not equal, A is not our answer

B) 2L of CO & 0.5L of NH3

1L of CO:

Number of moles in 22.4L of CO = 1

Number of moles in 2L of CO = 2/22.4=0.089 moles

Number of molecules in 2L of CO= 0.089*Avogadro's Number

0.5L of NH3

Number of moles in 22.4L of NH3= 1

Number of moles in 0.5L of NH3= 1/22.4=0.022 moles

Number of molecules in 0.5L of N2= 0.022*Avogadro's Number

So both are not equal, B is not our answer

C) 1L of H2 & 2L of Cl2

1L of H2:

Number of moles in 22.4L of H2 = 1

Number of moles in 1L of H2 = 1/22.4=0.045 moles

Number of molecules in 1L of H2= 0.045*Avogadro's Number

2L of Cl2

Number of moles in 22.4L of Cl2= 1

Number of moles in 2L of Cl2= 1/22.4=0.089 moles

Number of molecules in 2L of Cl2= 0.089*Avogadro's Number

So both are not equal, C is not our answer

D) 2L of H2 & 2L of Cl2

2L of H2:

Number of moles in 22.4L of H2 = 1

Number of moles in 1L of H2 = 2/22.4=0.045 moles

Number of molecules in 2L of H2= 0.089*Avogadro's Number

2L of Cl2

Number of moles in 22.4L of Cl2= 1

Number of moles in 2L of Cl2= 1/22.4=0.089 moles

Number of molecules in 2L of Cl2= 0.089*Avogadro's Number

So both are not equal, D is our answer

User Sjoseph
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