A certain mass of gas in a 2.25L container has a pressure of 164
kPa at 25°C. Calculate the new pressure, in mmHg, if the volume
of the container is reduced to 1.5L and the temperature remains
constant.

Respuesta :

The new pressure in mmHg if the volume

of the container is reduced to 1.5L and the temperature remains constant is 1,845.15mmHg.

HOW TO CALCULATE PRESSURE?

The new pressure of a gas can be calculated by using the combined gas law as follows:

P1V1/T1 = P2V2/T2

Where;

  • P1 = initial pressure of gas (1230.1mmHg)
  • P2 = final pressure of gas (?)
  • V1 = initial volume (2.25L)
  • V2 = final volume (1.5L)
  • T1 = initial temperature (25°C)
  • T2 = final temperature (25°C)

1230.1 × 2.25/25 = P2 × 1.5/25

2,767.725 = 1.5P2

P2 = 2,767.725 ÷ 1.5

P2 = 1,845.15

Therefore, the new pressure in mmHg if the volume of the container is reduced to 1.5L and the temperature remains constant is 1,845.15mmHg.

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