हिंदी

The number of molecules in 1 cm3 of an ideal gas at 0°C and at a pressure of 10-5 mm of mercury is ______.

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प्रश्न

The number of molecules in 1 cm3 of an ideal gas at 0°C and at a pressure of 10-5 mm of mercury is ______.

विकल्प

  • 2.7 × 1011

  • 3.5 × 1011

  • 6.0 × 1023

  • 6 × 1012

MCQ
रिक्त स्थान भरें
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उत्तर

The number of molecules in 1 cm3 of an ideal gas at 0°C and at a pressure of 10-5 mm of mercury is 3.5 × 1011.

Explanation:

PV = nRT

⇒ PV = `"N"/"N"_"A"`RT

Avogadro's number = 6.0 × 1023 particles per mole

760 mm mercury pressure = 105 atm

So, 10–5 mm pressure = `(10^-5xx10^5)/760` atm

⇒ N = `("PVN"_"A")/"RT"`

= `([10^-5/760xx10^5]xx[1xx10^-6]xx6xx10^23)/(8.3xx237)`

N = `1/283556xx10^17`

= 3.5 × 1011

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Introduction of Kinetic Theory of Gases
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