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Question

A $$0.5$$ $$dm^3$$ flask contains gas $$A$$ and 1 $$dm^3$$ flask contains gas $$B$$ at the same temperature. If density of $$A = 3\ g/dm^3$$ and that of $$ B = 1.5\ g/dm^3$$ and the molar mass of $$A = 1/2$$ of $$B$$, the ratio of pressure exerted by gases is:


A
PAPB=2
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B
PAPB=1
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C
PAPB=4
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D
PAPB=3
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Solution

The correct option is C $$\dfrac{P_A}{P_B}=4$$
The ideal gas equation is:

$$\displaystyle  PM=DRT$$

At constant temperature:

$$\displaystyle  \cfrac {P_A} {P_B}= \cfrac {D_AM_B}{M_AD_B} $$

        $$= \cfrac {3 \times M_B}{1.5 \times 0.5M_B} = 4$$

Hence, the ratio of the pressure exerted by the gases A and B is $$4:1$$.

Hence, the correct answer is option $$\text{C}$$.

Chemistry

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