Question

A steel vessel of capacity 22.4 litre contains 2 g of hydrogen, 8g of oxygen and 22g of carbon dioxide at a temperature of $0^o$C. The total pressure of the gas is:

• A. 1.75 atm
• B. 1.25 atm
• C. 1.50 atm
• D. 1.00 atm

Answer 1

The correct option is A 1.75 atm

2 g of hydrogen, 8g of oxygen and 22 g of carbon dioxide corresponds to

$\frac{2}{2}=1$ mole of hydrogen, $\frac{8}{32}=0.25$ moles of oxygen and $\frac{22}{44}=0.5$ moles of carbon dioxide.

The total number of moles are $=1+0.25+0.5=1.75$ moles.

The temperature is $0+273=273K$

The total pressure is $P=\frac{nRT}{V}$

$P=\frac{1.75\times 0.0821\times 273}{22.4}=1.75atm$.