Answer :

The temperature at which the gas will increase to 1.37L is 744.6K.

How to calculate temperature?

The temperature of a gas can be calculated using the Charles's law equation as follows;

V₁/T₁ = V₂/T₂

Where;

  • V₁ = initial volume
  • T₁ = initial temperature
  • V₂ = final volume
  • T₂ = final temperature

According to this question, a gas at 91°C occupies a volume of 0.67L. The temperature that the volume increase to 1.37L is:

0.67/364 = 1.37/T

0.00184 = 1.37/T

T = 1.37 ÷ 0.00184

T = 744.6K

Therefore, the temperature will increase to a value of 744.6K.

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