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Standard IX

Chemistry

Temperature-Volume Relationship

Pressure, vol...

Question

Pressure, volume and temperature of A are all twice as that B, then the ratio of number of molecules A and B are

1:2

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2:1

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1:4

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4:1

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Solution

The correct option is A 1:2
Using ideal gas law equation $\frac{P_{B} \times V_{B}}{n_{B} \times T_{B}}$ = $\frac{P_{A} \times V_{A}}{n_{A} \times T_{A}}$
but $P_{A}$ = $2 \times P_{B}$ , $V_{A}$ = $2 \times V_{B}$ , $T_{A}$ = $2 \times T_{B}$
therefore $\frac{n_{A}}{n_{B}}$ = $\frac{1}{2}$
but $n_{A}$ = $\frac{N_{A}}{N}$
therefore $\frac{N_{A}}{N_{B}}$ = $\frac{1}{2}$

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Pressure, volume and temperature of A are all twice as that B, then the ratio of number of molecules A and B are

The correct option is A 1:2Using ideal gas law equation PB×VBnB×TB= PA×VAnA×TAbut PA= 2×PB, VA= 2×VB, TA= 2×TBtherefore nAnB= 12but nA= NANtherefore NANB= 12