Question

Calculate the density of CO2 gas which has a pressure 745mm at 65°C?​

Answer 1

Answer:-

• Pressure=P=745mm

Convert it to atm:-

$\\ \sf\longmapsto 1atm=760mm \:Hg$

$\\ \sf\longmapsto P=\dfrac{745}{760}atm$

$\\ \sf\longmapsto P=0.98atm$

• Temperature=T=65°C

Covert it to Kelvin:-

$\\ \sf\longmapsto 1°C=273K$

$\\ \sf\longmapsto 65°C=65+273$

$\\ \sf\longmapsto 65°C=338K$

We have

$\boxed{\sf R=0.00821litre\:atm\:K^{-1}mol^{-1}}$

$\boxed{\sf M_{CO_2}=44g/mol}$

Applying Formula

$\boxed{\sf\star M=\dfrac{dRT}{P}}$

$\\ \sf\longmapsto d=\dfrac{MP}{RT}$

$\\ \sf\longmapsto d=\dfrac{44\times 0.98}{0.0821\times 338}$

$\\ \sf\longmapsto d=1.55g/mol$

$\\ \qquad\underline{\boxed{\bf {\therefore Density=1.55g/mol}}}$