Question

A balloon of diameter 20.0 cm is filled with helium gas at 30°C at 1.00 atm. How

many atoms of helium gas fill a balloon having a diameter of 20.0 cm at 30.0°C
at 1.00 atm?​

Answer 1

N = 3.54 * 10²³ atoms

Step-by-step explanation:

The formula to apply here is the idea gas law;

PV = nRT where ;

P= pressure of the gas= 1.013 * 10⁵ Pa

V= volume of the gas = 4/3 * 3.14 *0.15³= 0.01414 m³

n= amount of a substance = ?

R= ideal gas constant= 8.314

T= temperature= 293 K

Applying the values to the formula;

PV = nRT

1.013 * 10⁵ * 0.01414 = n * 8.314*293

n= 1.013 * 10⁵ * 0.01414 / 8.314*293

n= 0.588 moles

1 mole = 6.022 * 10²⁷ atoms/ mole

0.588 moles = 0.588 * 6.022 * 10²⁷

N = 3.54 * 10²³ atoms