For a 1.45L bicycle tire, the manufacturer recommends a total pressure of 8.80atm*. How many moles of gas would fill the tire to the recommended pressure at 28.00∘C? Assume ideal gas behavior.

n = 0.52 mol

Explanation:

Given data:

Volume of tire = 1.45 L

Temperature = 28 °C (28+273 = 301 K)

Pressure of gas = 8.80 atm

Moles of gas present = ?

Solution:

Formula:

PV = nRT

P = Pressure

V = volume

n = number of moles

R = ideal gas constant

T = temperature

Now we will put the values:

Ideal gas constant = R = 0.021 atm.L/mol.K

8.80 atm × 1.45 L = n × 0.0821 atm.L/mol.K × 301 K

12.76 atm.L = n × 24.7  atm.L/mol

12.76 atm.L / 24.7  atm.L/mol = n

n = 0.52 mol