Middle School

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My car has a volume of 2600 L. On a nice spring day, the temperature outside is 20.0 degrees Celsius. If the pressure is 98.5 kPa, how many moles of gas are inside the car?

Answer :

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.

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