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Chery Chery
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7 years ago
If a certain sample of an ideal gas has a temperature of 104°C and exerts a pressure of 2.3 × 104 Pa on the walls of its container, how many gas molecules are present in each cubic centimeter of volume? The ideal gas constant is R = 8.31 J/mol × K and Avogadro's number is NA = 6.022 × 1023 molecules/mol.
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College Physics

College Physics


Edition: 1st
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lyalllyall
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Chery Author
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7 years ago
If a certain sample of an ideal gas has a temperature of 109°C and exerts a pressure of 1.2x104 Pa on the walls of its container, how many gas molecules are present in each cubic centimeter of volume? The ideal gas constant is 8.314 J/mol·K and Avogadro's number is 6.022×1023 molecules/mol. [2.3×1018 molecules]

Using ideal gas law:

PV = nRT

n = PV/RT

Using given values

V = 1 cm^3 = 1*10^-6 m^3

n = 1.2*10^4*1*10^-6/(8.314*(273+109))

n = 3.77*10^6 moles

no. of molecules = Na*n

= 3.77*10^-6*6.023*10^23 = 2.27*10^18 molecules
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