Question

The density of a gas at STP is 2.68g/L . The gas may be; (a)NO2(b)Kr(c)COS(d)SO2

Answer 1

at stp volume is 22.4 lit

density= mass/vol

mass= density x vol.
mass= 2.68x 22.4

mass≈ 60 g
now check which gas has mass nearest to 60 and that would be your ans

Answer 2

The gas is $COS$

Explanation:

To calculate the density of gas, we use the equation given by ideal gas equation:

$PV=nRT$

Number of moles (n)  can be written as: $n=\frac{m}{M}$

where, m = given mass

M = molar mass

$PV=\frac{m}{M}RT\\\\PM=\frac{m}{V}RT$

where,

$\frac{m}{V}=d$ which is known as density of the gas

The relation becomes:

$PM=dRT$    .....(1)

We are given:

M = molar mass of argon = ?

R = Gas constant = $0.0821\text{ L atm }mol^{-1}K^{-1}$

T = temperature of the gas = 273 K

P = pressure of the gas = 1 atm

Putting values in equation 1, we get:

$1atm\times Mg/mol=2.68g/L\times 0.08201\text{ L atm }mol^{-1}K^{-1}\times 273K$

$M=60.1g/mol$

As the molar mass of 60.1 is for $COS$, the gas is $COS$.

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