An ideal gas has a pressure of 2.5 atm, a volume of 1.0 L at a temperature of 30°C. How many molecules are there in the gas? A) 6.1 × 10²³ B) 6.1 × 10²² C) 2.4 × 10²³ D) 2.3 × 10²³

Question

Quizplus · Accepted Answer

Using the ideal gas law, PV=nRT, we can solve for the number of molecules (n) in the gas:

n = (PV) / (RT)

We need to convert the temperature to Kelvin:

30°C + 273.15 = 303.15 K

Plug in the values:

n = (2.5 atm * 1.0 L) / (0.0821 L*atm/mol*K * 303.15 K)

n = 0.103 mol

To convert from moles to molecules, we use Avogadro's number:

(0.103 mol) * (6.022 x 10^23 molecules/mol) = 6.19 x 10^22 molecules

The closest answer choice is B, 6.1 x 10^22 molecules.

An Ideal Gas Has a Pressure of 2