Answer : The number of moles of gas inside the car is, 105.0 mole.
Explanation :
To calculate the moles of gas we are using ideal gas equation.
[tex]PV=nRT[/tex]
where,
P = Pressure of gas = 98.5 kPa = 0.972 atm (1 atm = 101.3 kPa)
V = Volume of gas = 2600 L
n = number of moles of gas = ?
R = Gas constant = [tex]0.0821L.atm/mol.K[/tex]
T = Temperature of gas = [tex]20^oC=273+20=293K[/tex]
Now put all the given values in above equation, we get:
[tex]0.972atm\times 2600L=n\times (0.0821L.atm/mol.K)\times 293K[/tex]
[tex]n=105.0mol[/tex]
Therefore, the number of moles of gas inside the car is, 105.0 mole.
