Density of a gas is found to be 5.46


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Question 5.9 Density of a gas is found to be 5.46 g/dm^3 at 27 °C at 2 bar pressure. What will be its density at STP?

Class XI States of Matter Page 153

Answered by admin @



Concept :- we know,
d=\frac{PM}{RT}\\\\d\:\:\:\alpha\frac{P}{T}
for same gas at different temperature and pressure .
\frac{d_2}{d_1}=\frac{P_2T_1}{P_1T_2} \\
STP means gas at 1 bar pressure and 273K temperature.

here, d1 = 5.46 g/dm³ , d2 = ?
T1 = 27°C or 300K , T2 = 0°C or 273K
P1 = 2bar and P2 = 1 bar

d2 = d1.P2.T1/P1.T2
= 1 × 300 × 5.46/2 × 273
= 3 g/dm³

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