3. An ideal gas has a pressure of 3.00 atm , a volume of 4.50m’, and a temperature of 460K . а. How many moles of gas are there? b. How many gas molecules are there? What is the number density of gas molecules?
Please explain and solve clearly. Write all answers to 3 significant figures and include proper units
Introduction:
Behavior of gas molecule is quite complicated. The clear description of the gas molecule given in kinetic theory of the gases. Ideal gas equation is the milestone in the history of the physics which helps to sort out several problems in the classical physics world. Ideal gas equation relates the pressure, volume, number of moles of gas, temperature in the single equation.
Given data:
Given the gas is an ideal gas.
Pressure of the gas is,
P=3.00 atm=303975 Pascal
Volume of the gas is,
V= 4.50 m3
Temperature of gas is,
T= 460 K
Formula used:
Ideal gas equation is,
PV= nRT
Where,
P- Pressure of gas in Pascal
V- Volume of gas in m3
n- No of moles of gas
T- Temperature of the gas
R- Gas constant=8.31 J/K.mole
Calculation:
(a)
According ideal gas law,
(b)
1 mole of gas contain Avogadro's number of gas molecule
Avogadro's number= 6.02 x 1023 molecules/ moles
No of gas molecule (nmolecule) is,
(c)
Number density of gas molecule is,
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