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Question
A gas is at temperature 80°C and pressure 5 × 10−10 Nm−2. What is the number of molecules per m3 if Boltzmann’s constant is 1.38 × 10−23 J K−1
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Solution
Temperature of a gas (T) = 80°C + 273 = 353 K
Pressure of a gas (P) = 5 × 10−10 Nm−2
Boltzmann's constant (KB) = 1.38 × 10−23 J K−1
V = 1 m3
Number of molecules, n = `"PV"/"kT"`
= `(5 xx 10^-10 xx 1)/(1.38 xx 10^-23 xx 353)`
= `(5 xx 10^-10)/(487.14 xx 10^-23)`
= 0.01026 × 1013
n = 1.02 × 1011
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