Question

Density of CO2 is equal to 1.965 kg/m³ at 273 K and 1 atm pressure.Calculate molar mass of CO2.

Answer 1

Final Answer : Molar Mass of CO2 = 44.042g
Assuming gas is Ideal :

Steps and Understanding :
1) Given, 
Temperature , T = 273K
Pressure, P = 1atm
Density, d = 1.965 kg/m^3 = 1.965g/L 
Gas Constant, R = 0.0821 Latm /K/mole 

2) 
Let Molar Mass of CO2 be M g. 
Then, 
Equation :
d = PM/RT 
=> 
\begin{lgathered}1 .965 = \frac{1 \times m}{0.0821 \times 273} \\ = > m = 0.0821 \times 273 \times 1.965 \\ = > m = 44.042 \: g \:\end{lgathered}1.965=0.0821×2731×m​=>m=0.0821×273×1.965=>m=44.042g​ 

Therefore, Molar Mass of CO2 is 44.042g.