Respuesta :

The density of the gas is 49 times two which is 10

Answer : The density of gas at STP is, 2.19 g/L

Explanation :

To calculate the density of gas we are using ideal gas equation:

[tex]PV=nRT\\\\PV=\frac{w}{M}RT\\\\P=\frac{w}{V}\times \frac{RT}{M}\\\\P=\frac{\rho RT}{M}[/tex]

where,

P = pressure of gas = 1 atm  (at STP)

T = temperature of gas = 273 K  (at STP)

R = gas constant = 0.0821 L.atm/mole.K

M = molar mass of gas = 49 g/mole

Now put all the given values in the ideal gas equation, we get:

[tex]1atm=\frac{\rho \times 0.0821L.atm/mole.K\times 273K}{49g/mol}[/tex]

[tex]\rho=2.19g/L[/tex]

Therefore, the density of gas at STP is, 2.19 g/L