Question

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 1

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.

`PV=nRT`

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 =
`0.0821L.atm/mol.K`

T = Temperature of gas =
`20^oC=273+20=293K`

Now put all the given values in above equation, we get:

`0.972atm* 2600L=n* (0.0821L.atm/mol.K)* 293K`

`n=105.0mol`

Therefore, the number of moles of gas inside the car is, 105.0 mole.