Helium gas is filled in a balloon of diameter 30 cm at 20 $\circ$ C and 1 atm pressure.The number of atoms of helium gas filled in the balloon is

Question

Quizplus · Accepted Answer

We can use the ideal gas law to solve this problem. First, we need to convert the temperature to Kelvin: 20°C + 273.15 = 293.15 K. Then, we can use the formula:

PV = nRT

where P is the pressure (1 atm), V is the volume of the balloon (4/3 π (0.15 m)^3 = 0.01414 m^3), n is the number of moles of helium, R is the gas constant (0.08206 L atm mol^-1 K^-1), and T is the temperature in Kelvin (293.15 K).

Solving for n, we get:

n = PV/RT = (1 atm)(0.01414 m^3)/(0.08206 L atm mol^-1 K^-1)(293.15 K) = 0.000567 mol

To convert moles to atoms, we multiply by Avogadro's number:

0.000567 mol * 6.022 x 10^23 atoms/mol = 3.41 x 10^20 atoms ≈ 3.53 x 10^20 atoms

Therefore, the answer is A, with approximately 3.53 x 10^20 atoms of helium gas in the balloon.

Helium Gas Is Filled in a Balloon of Diameter 30 ∘\circ∘

Helium Gas Is Filled in a Balloon of Diameter 30 $\circ$