The ideal gas law describes the relationship among the pressure P, volume V, num

Question

The ideal gas law describes the relationship among the pressure P, volume V, number of moles n_1 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 atm/mol K. How many air molecules are in a 13.0 x 12.0 x 10.0 ft room Assume atmospheric pressure of 1.00 atm, a room temperature of 20.0 degree C, and ideal behavior.

Explanation / Answer

PV = nRT

n =PV/(RT)

V = 13*12*10 = 1560 ft^3 = 1560*28.2 = 43992 L

n = (1)(43992)/(0.082*293)

n = 1831.0163 mol

1 mol = 6.022*10^23 molecules

then

1831.0163 mol --> 1831.0163*6.022*10^23 = 1.102638*10^27 air molecules

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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