Question

100l of vessel contains 14g of co2 at 27°c then density is​

Answer 1

0.14 will be the answer

Answer 2

Density is​ 0.14 g/L

Explanation:

To calculate the relation of density and molar mass of a compound, we use the ideal gas equation:

PV=nRT

P = pressure

V = Volume

n = number of moles

R = gas constant

T = temperature

Number of moles (n) can be written as:

$n=\frac{m}{M}$

where, m = given mass

M = molar mass

$n=\frac{14g}{44g/mol}=0.32mol$

$P\times 100L=0.32\times 0.0821Latm/molK\times 300K$

$P=0.08atm$

The relation becomes:

PM=dRT  

$d=\frac{PM}{RT}$

$d=\frac{0.08atm\times 44g/mol}{0.0821Latm/molK\times 300K}$

$d=0.14g/L$

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