Question

What is the gauge pressure in a car tire containing 3.60 mol of gas in a 30.0 L volume?

a) (4.00 atm)
b) (2.40 atm)
c) (1.20 atm)
d) (0.40 atm)

Answer 1

To find the gauge pressure in the car tire, we use the ideal gas law equation. Plugging in the given values, the gauge pressure is 1.20 atm.

Step-by-step explanation:

To find the gauge pressure in the car tire, we can use the ideal gas law equation: PV = nRT. In this equation, P represents the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin. Rearranging the equation, we have P = (nRT) / V.

Given n = 3.60 mol, V = 30.0 L, and assuming the temperature is 25°C (298 K), we can plug in the values and solve for P.

P = (3.60 mol * 0.0821 atm/mol*K * 298 K) / 30.0 L = 1.20 atm.

Therefore, the gauge pressure in the car tire is (c) 1.20 atm.