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