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1. A sample of methane gas collected at a pressure of 1.28 atm and a temperature of 29.0 degrees Celsius is found to occupy a volume of 27.6 liters. How many moles of CH4CH4 gas are in thesample?

1 A sample of methane gas collected at a pressure of 128 atm and a temperature of 290 degrees Celsius is found to occupy a volume of 276 liters How many moles o class=

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Answer:

As Per Given Information

Pressure P = 1.28 atm

Temperature T = 29.0 °C = 29 + 273 = 312K

Volume V = 27.6 L

Ideal gas Constant R = 0.0821 atmL/K mol

We've been asked to find the number of moles of CH4CH4 gas are in given sample .

For finding the number of moles we will use "ideal gas equation "

[tex] \diamond{\boxed{\purple{\bf{PV \: = nRT}}}}\\

\sf\;Put~the~ given~ value~ we ~obtain

\\\sf \twoheadrightarrow \:1.28 \times 27.6 = n \: \times 0.0821 \times 312 \\ \\ \sf \twoheadrightarrow \:35.328 = n \times 25.6152 \\ \\ \sf \twoheadrightarrow \:n \: = \frac{35.328}{25.6152} \\ \\ \sf \twoheadrightarrow \:n \: = 1.37[/tex]

So, the number of moles is 1.4 ( approx) .
  • P=1.28atm
  • V=27.6L
  • T=29°C=29+273=302K
  • R=0.0821atmLK^{-1}

Moles be n

[tex]\\ \rm\Rrightarrow PV=nRT[/tex]

[tex]\\ \rm\Rrightarrow n=\dfrac{PV}{RT}[/tex]

[tex]\\ \rm\Rrightarrow n=\dfrac{1.28(27.6)}{0.0821(302)}[/tex]

[tex]\\ \rm\Rrightarrow n=\dfrac{35.3}{24.8}[/tex]

[tex]\\ \rm\Rrightarrow n=1.42mol[/tex]