The volume of a gas is increased six times the original volume by heating it. If the original temperature of
the gas was 27 °C, what is the final temperature of the gas?

O 1200 o
O 1800 oC
O 1527 OC
O 1500

Respuesta :

The final temperature of the gas given the data from the question is 1527 °C

Data obtained from the question

  • Initial volume (V₁) = V
  • Initial temperature (T₁) = 27 °C = 27 + 273 = 300 K
  • Final volume (V₂) = 6V
  • Final temperature (T₂) =?

How to determine the new temperature

The final temperature of the gas can be obtained by using the Charles' law equation as illustrated below:

V₁ / T₁ = V₂ / T₂

V / 300 = 6V / T₂

Cross multiply

V × T₂ = 300 × 6V

Divide both side by V

T₂ = (300 × 6V) / V

T₂ = 1800 K

Subtract 273 from 1800 K to express in degree celsius

T₂ = 1800 – 273

T₂ = 1527 °C

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