The recommended air pressure of a car tire is 32.0 psi (221 kPa). An average tire holds
around 1 mole of gas. What is the volume of the tire at 32°C?

The answer to your question is Volume = 11.47 L

Explanation:

Data

Pressure = 221 kPa

Temperature = 32°C

moles = 1

Volume = ?

R = 0.082 atm L / mol°K

Process

1.- Convert pressure to atm

Pressure = 221 kPa = 221000 Pa

                      1 atm 101325 Pa

                      x          221000 Pa

                      x = (221000 x 1) / 101325

                      x = 2.18 atm

2.- Convert temperature to °K

°K = 32 + 273

   = 305°

3.- Substitution

                PV = nRT

- Solve for V

                V = nRT / P

- Substitution

                V = (1)(0.082)(305) / 2.18

- Result

                V = 11.47 L

The volume of the tire is 11.5 L

Explanation:

Step 1: Data given

Pressure of the car tire = 221 kPa = 2.1811 atm

Number of moles gas = 1.0 mol

Temperature = 32.0 °C

Step 2: Calculate the volume

p*V = n*R*T

⇒ with p = the pressure = 2.1811 atm

⇒ with V = the volume of the tire = TO BE DETERMINED

⇒ with n= The number of moles gas = 1 mol

⇒ with R = the gas constant = 0.08206 L*atm/mol*K

⇒ with T = the temperature = 305 K

V = (n*R*T) / p

V = (1.0 * 0.08206 * 305 ) / 2.1811 atm

V = 11.5 L

The volume of the tire is 11.5 L

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most historians agree that gabriel mouton, the vicar of st. paul’s church in lyons, france, is the “founding father” of the metric system. he proposed a decimal system of measurement in 1670. mouton based it on the length of one minute of arc of a great circle of the earth (now called a nautical mile, 1852 meters). he also proposed the swing-length of a pendulum with a frequency of one beat per second as the unit of length (about 25 cm). a pendulum beating with this length would have been fairly easy to produce, thus facilitating the widespread distribution of uniform standards. over the years, his work was revised, improved, and extended by a number of french scientists.

the political sponsor of weights and measures reform in the french revolutionary national assembly was the bishop of autun, better known as talleyrand. under his auspices, the french academy appointed several committees to carry out the work of developing a usable system of weights and measures for france. one of the committees recommended a decimalized measurement system based upon a length equal to one ten-millionth of the length of a quadrant of the earth’s meridian (i.e., one ten-millionth of the distance between the equator and the north pole).