Answer:
#Ar atoms = 1.47 x 10²²
Step-by-step explanation:
PV = nRT => n = PV/RT
P = 8.80 X 10⁵ mmHg = 8.80 X 10⁵ mmHg/760mmHg·atm⁻¹ = 11.58atm
V = 137ml = 0.137 Liter
n = ? moles Ar = ? moles Ar x 6.02 x 10²³ Atoms Ar/mole Ar
R = 0.08206 L·atm/mol·K
T = 794K
PV = nRT => n = PV/RT = 11.58atm·0.137L / 0.08206L·atm/mol·K·794K
=> n = 0.0243mole Ar = 0.0244mole Ar x 6.02 x 10²³ atoms Ar/mole Ar
= 1.47 x 10²² atoms Ar