Answer:
The pressure of 0.5 mole of nitrogen gas=[tex]168.78 k pa[/tex]
Given:
Moles of nitrogen gas=0.5mole
Volume of nitrogen gas=5L
Temperature of nitrogen gas=203K
To Find:
Pressure of 0.5g mole of nitrogen gas
Step by Step by Explanation:
Formula used for calculating the pressure of a gas is achieved through ideal gas equation
According to Ideal Gas;
[tex]P V=n R T[/tex]
From this above equation, pressure can be calculated as
[tex]P=\frac{n R T}{V}[/tex]
Where P=Pressure of the gas
N=number of moles=0.5moles
R=Gas constant[tex]=8.3144598 L k p_{a} k^{-1} m o l^{-1}[/tex]
V=Volume of nitrogen gas in litres=5L
T=Temperature of nitrogen gas=203K
Substitute all the values in the above equation we get
[tex]P=\frac{0.5 \times 8.3144598 \times 203}{5}[/tex]
[tex]P=\frac{843.9177}{5}[/tex]
[tex]P=168.78 k pa[/tex]
Result:
Thus the pressure of 0.5 mole of nitrogen gas is [tex]168.78 k pa[/tex]
