Question

Density of a gas is found to be 5.46 gm/lit at 27${}^{\circ }\text{C}$ and 2 atm pressure. what will be its density at STP?

• A. 3 gm/lit
• B. 2 gm/lit
• C. 1.5 gm/lit
• D. 1 gm/lit

Answer 1

Answer: (A)

3 gm/lit

Density at $27°C$ of gas is $5.46g/lit$.

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$ (for any gas)

$\frac{2V_1}{300}=\frac{1\times V_2}{273}$ $\because P_1=2atm,T_1=27°C$

$182V_1=V_2$ ($P_2,T_2,V_2$ are STP conditions.)

Density at STP$=\frac{Mass}{Volume}=\frac{m}{1.82V_1}=\frac{5.46}{1.82}=3g/lit$