Ideal gas law – problems and solutions

1. እኔdeal gases in a የተዘጋ መያዣ initially have volume V and ትኩሳት T. The final temperature is 5/4T and the final ጫና is 2P. What is the final volume of the gas?

የሚታወቅ፦

የመጀመሪያ መጠን (V)1) = ቪ

የመጀመሪያ ሙቀት (ቲ)1) = ቲ

የመጨረሻ የሙቀት መጠን (ቲ)2) = 5/4 ቲ

የመጀመሪያ ግፊት (ፒ)1) = ፒ

የመጨረሻ ግፊት (ፒ)2) = 2 ፒ

የሚፈለግ የመጨረሻው መጠን (V)2)

መፍትሔው

Ideal gas law - problems and solutions 1

ተመልከት  ለፕሮጀክቲል እንቅስቃሴ የሜካኒካል ኃይል ጥበቃ አተገባበር - ችግሮች እና መፍትሄዎች

2. Determine the volume of 2.00 moles of gases (ideal gas) at STP. STP = Standard Temperature and Pressure.

የሚታወቅ፦

Moles of gas (n) = 2 moles

Standard temperature (T) = 0 oC = 0 + 273 = 273 Kelvin

Standard pressure (P) = 1 atm = 1.013 x 105 Pa

Universal gas constant (R) = 8.315 Joule/mole.Kelvin

የሚፈለጉ : Volume of gases (V)

መፍትሔው

የ እኩልታ Ideal gas law (in the number of moles, n)

Ideal gas law - problems and solutions 2

Volume 2 moles of gases is 44.8 liters.

Volume 1 mol of gases is 45.4 liters / 2 = 22.4 liters.

Volume 1 mol of any gases is 22.4 liters.

ተመልከት  የማኖሜትር ቱቦ - ችግሮች እና መፍትሄዎች

3. 4 liters of oxygen gas has a temperature of 27°C and pressure of 2 atm (1 atm = 105 Pa) in a closed container. Universal gas constant (R) = 8.314 J.mole-1.K-1 and Avogadro’s number (NA) = 6.02 x 1023 molecules/mole. What are the molecules of oxygen gases in the container?

የሚታወቅ፦

Volume of gases (V) = 4 liters = 4 dm3 = 4x10-3 m3

Temperature of gases (T) = 27oC = 27 + 273 = 300 Kelvin

Pressure of gases (P) = 2 atm = 2 x 105 Pa

Universal gas constant (R) = 8.314 J.mole-1.K-1

Avogadro’s number (NA) = 6.02 x 1023

የሚፈለጉ : What is the molecules of oxygen gases in the container (N)

መፍትሔው

Ideal gas law - problems and solutions 3

In 1 mole oxygen gases, there are 1.93 x 1023 oxygen molecules.

ተመልከት  የማዞሪያ ተለዋዋጭነት - ችግሮች እና መፍትሄዎች

4. A container containing a neon gas (Ne, atomic mass = 20 u) at standard temperature and pressure (STP) has a volume of 2 m3. Determine the mass of the neon gas!

የሚታወቅ፦

Atomic mass of neon = 20 gram/mole = 0,02 kg/mole

Standard temperature (ቲ) = 0oC = 273 Kelvin

መደበኛ ግፊት (P) = 1 atm = 1.013 x 105 ፓስካል

ድምጽ (V) = 2 ሜትር3

የሚፈለጉ : ብዛት (ሜ) of neon gas

መፍትሔው

At standard temperature and pressure (STP), 1 mole of any gases, include neon gas, have volume 22.4 ሊትርs = 22.4 ዲሜ3 = 0.0448 ሜትር3.

Ideal gas law - problems and solutions 4

In the volume of 2 m3there are 44.6 moles of neon gas.

Relative atomic mass of neon gas is 20 gram/mole.

This means that in 1 mole there are 20 grams or 0.02 kg of neon gas. Because in 1 mol there are 0.02 kg of neon gas then in 44.6 mole there are 44.6 moles x 0.02 kg/mole = 0.892 kg = 892 gram of neon gases.

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