PROBLEM 68P

How many moles of gas must be forced into a 4.8-L tire to give it a gauge pressure of 32.4 psi at 25 °C? The gauge pressure is relative to atmospheric pressure. Assume that atmospheric pressure is 14.7 psi so that the total pressure in the tire is 47.1 psi.

Solution 68P

Here, we are going to calculate the number of moles of required gas.

Step 1:

From ideal gas equation, we have,

pV = nRT ----(1)

Where, p = pressure

V = volume of the gas

n = number of moles of the gas

R = universal gas constant and its value is 0.0821 L atm K-1 mol-1

T = temperature