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  4. A vessel contains 3.2 g of dioxygen gas at STP (273.15 K and 1 atm pressure). The gas is now transferred to another vessel at constant temperature, where pressure becomes one third of the original pressure. The volume of new vessel in L is: (Given - molar volume at STP is 22.4 L )

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Q. A vessel contains $3.2 \,g$ of dioxygen gas at STP ($273.15 \,K$ and $1 \,atm$ pressure). The gas is now transferred to another vessel at constant temperature, where pressure becomes one third of the original pressure. The volume of new vessel in $L$ is : (Given - molar volume at STP is $22.4\, L$ )

NEETNEET 2022Chemical Bonding and Molecular Structure

Solution:

Moles of Dioxygen gas $=\frac{3.2 g }{32 \,g \,mol ^{-1}}=0.1 \,mol$
volume of Dioxygen gas at $STP =0.1 \times 22.4$
$=2.24 \,L$
At constant temperature
$P _1 V _1= P _2 V _2$
$1 \times 2.24=\frac{1}{3} \times V _2$
$V _2=6.72\, L$