A glass container was initially charged with
3.00 moles of a gas sample at 3.75 atm and
21.7 °C. Some of the gas was released as the
temperature was increased to 28.1 °C, so the
final pressure in the container was reduced to
0.998 atm. How many moles of the gas
sample are present at the end?
Answer in mol

Respuesta :

The number of moles of the gas sample present at the end is 0.78 moles.

Number of moles of the gas

PV = nRT

V = nRT/P

At a constant volume, V;

n₁RT₁/P₁ = n₂RT₂/P₂

n₁T₁/P₁ = n₂T₂/P₂

n₂ = (n₁T₁P₂)/(P₁T₂)

where;

  • T₁ is initial temperature = 21.7⁰C = 294.7 K
  • T₂ is final temperature = 28.1⁰C = 301.1 K

n₂ = (3 x 294.7 x 0.998)/(3.75 x 301.1)

n₂ = 0.78 moles

Thus, the number of moles of the gas sample present at the end is 0.78 moles.

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