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
B
PAPB=1
C
PAPB=4
D
PAPB=3

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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