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Find the approx. number of molecules contained in a vessel of volume 7 litres at 0°c at 1.3 × 10 5 pascal

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Answered by Saihariine
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Find the approx no of molecules contained in a vessel of volume 7 litres at 0°c at 1.3 ×10^5 pascal

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Saihariine · Ambitious

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abhi178

Abhi178 The Sage

given, pressure , P= 1.3 × 10^5 Pascal = 1.283 atm

volume, V = 7 litres

temperature, T = 0°C = 273K


we know from ideal gas law,


PV = nRT


n = RT/PV


= 0.082 × 273/(1.283 × 7) [ R = 0.082 L.atm/mol/k]


= 2.49


hence, number of mole = 2.49


so, number of molecules = mole × 6.023 × 10²³


= 2.49 × 6.023 × 10²³


= 14.99 × 10²³ ≈ 1.5 × 10²⁴


hence, number of molecules = 1.5 × 10²⁴

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