First slide

Gaseous state

Question

If the density of a certain gas at 30°C and 768 torr is 1.35 kg /m³, then density at STP is

Moderate

A

$1 .48 kg / m^{3}$
B

$1 .27 kg / m^{3}$
C

$1 .35 kg / m^{3}$
D

$1 .00 kg / m^{3}$

Solution

We know, pV = nRT
$p = \frac{n}{V} RT = \frac{W}{mV} RT = \frac{dRT}{m}$
$(where, d = \frac{W}{V} density in {gL}^{- 1}) d = \frac{pm}{RT}$
$∴ \frac{d_{2}}{d_{1}} = \frac{p_{2} m_{2} T_{1}}{p_{1} m_{1} T_{2}} = \frac{p_{2} T_{1}}{p_{1} T_{2}} (for a given gas)$
$d_{2} = \frac{1 .35 \times 760 \times 303}{768 \times 273} = 1 .48 kg / m^{3}$

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