Question #55457

a sample of gas occupies 135ml at 22.5 degrees celcius the pressure is 165mm Hg. whats the pressure of the gas sample when its placed in a 252ml flask at a temperature of 0 degrees celcius

Expert's answer

Answer on Question#55457 – Chemistry – Other

Question:

A sample of gas occupies 135ml at 22.5 degrees Celsius the pressure is 165mm Hg. what's the pressure of the gas sample when it's placed in a 252ml flask at a temperature of 0 degrees Celsius?

Solution:

P – pressure (mm Hg or Pa);

T – temperature (K)

V – volume (L);

V1 = 135 ml = 0.135 L;

V2 = 252 ml = 0.252 L;

T1 = 22.5 °C = 295.65 K;

T2 = 0 °C = 273.15 K;

P1 = 165 mm Hg = 21998,2 Pa;

P2 - ?

According to the Boyle's law:


P1V1T1=P2V2T2;\frac{P1V1}{T1} = \frac{P2V2}{T2};P2=P1V1T2T1V2;P2 = \frac{P1V1T2}{T1V2};P2=81.67 mm Hg;P2 = 81.67 \text{ mm Hg};


Answer: 81.67 mm Hg; (108 kPa).

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