Answer:
2.9x10⁻⁷L is the volume this amount of gas occupy
Explanation:
Assuming there are 7.8x10¹⁵ atoms
Based on the general gas law:
PV = nRT
Where P is pressure = 1atm
V is volume = Our incognite
n are moles of the gas:
7.8x10¹⁵ atoms * (1mol / 6.022x10²³ atoms) = 1.30x10⁻⁸ moles of gas
R is gas constant = 0.082atmL/molK
And T is absolute temperature = 273.15K at STP
Solving for Volume:
V = nRT/P
V = 1.30x10⁻⁸ moles*0.082atmL/molK*273.15K / 1atm
V = 2.9x10⁻⁷L is the volume this amount of gas occupy
