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Chemistry
If volume of 2 moles of an ideal gas at 540 K is 44.8 litre, then its pressure will be
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Q. If volume of $2$ moles of an ideal gas at $540 \,K$ is $44.8$ litre, then its pressure will be
UP CPMT
UP CPMT 2013
States of Matter
A
$1 \,atm$
12%
B
$3 \,atm$
13%
C
$2 \,atm$
66%
D
$4 \,atm$
8%
Solution:
Number of moles, $n = 2$
Temperature, $T = 540\, K$
Volume, $V = 44.8\, L$
$P=?$
[$R$, gas constant $= 0.0821\, L \,atm \,K^{-1}\, mol^{-1}$]
According to ideal gas equation $PV = nRT$
$P=\frac{nRT}{V}=\frac{2\times0.0821\times540}{44.8}$
$=2\,atm$