Please provide an explaination! The ideal gas law describes the relationship amo

Question

Please provide an explaination!

The ideal gas law describes the relationship among the pressure P, volume V, number of moles n, and absolute temperature T of an ideal gas. Here is the relationship expressed mathematically: PV = nRT where R is a proportionality constant. The units of R are determined by the units of pressure and volume used in the equation. When atm is used for pressure and L for volume, the appropriate R value is 0.0821 L middot atm/mol middot K. How many air molecules are in a 12.2 times 12.0 times 10.0 ft room? Assume atmospheric pressure of 1.00 atm, a room temperature of 20.0 degree C, and ideal behavior. Volume conversion:There are 28.2 liters in one cubic foot.

Explanation / Answer

1ft = 0.3048 m

volume of room = 12.5 x 12 x 10 = 1500 ft3

     = ( 1500 ) x 28.2 liters

= 42300 liters

P = 1 atm ,   T = 20 C = 20+273 = 293 K

we use PV = nRT to get moles n ,    R is gas constant = 0.0821 liter atm/molK

1 atm x 42300 L = n x 0.0821 liter atm/molK x 293 K

n = 1758.45

Number of molecules = moles x avagadro number

       = 1758.45 x 6.023 x 10^23

     = 1.059 x 10^ 27

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.