A glass at $772 m m H g$ and at $35^{o} C$ occupies a volume of $6.851$ . Calculate its volume at $S T P$ .

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Solution

Given pressure (P)=772 mm Hg=772 mm Hg/760 mm Hg=1.0158 atm
$T = 35 + 373.15 = 308.15 K$
$V = 6.851 L$
$R = 0.082$
According to Ideal Gas Equation
$P V = n R T$
$n = P V / R T$
$n = \frac{1.016 \times 6.851}{0.082 \times 308.15} = 0.2781$
For STP
$P = 1 a t m$
$T = 273 K$
$R = 0.082$
$n = 0.2781$
$V = n R T / P$
$V = \frac{0.2781 \times 0.082 \times 273.15}{1} = 6.22$

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