Density of CO2 is equal to 1.965 kg/m³ at 273 K and 1 atm pressure.Calculate molar mass of CO2.
Answers & Comments
vkmd03012002
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
Answers & Comments
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.