Question

Given that 5.6grams of an ideal gas occupies 6.9litres at STP, (0°C and 101,325Pa), what is its volume at 100°C and a pressure of 76.0cm of mercury? ​

Answer 1

Answer:

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Answer 2

The volume at 100°C and a pressure of 76.0cm of mercury is 9.4 litres.

Given - Pressure, volume and temperature

Find - Volume

Solution - The pressure 101,325 Pa = pressure of 76.0cm of mercury. Hence, we need to find the change in volume at constant pressure and variable temperature. Using Charles' law for the calculation.

$\frac{V1}{T1} = \frac{V2}{T2}$

V1 and V2 is original and final volume and T1 and T2 is original and final temperature.

Converting temperature in Kelvin..

T1 = 273 K

T2 = 100 + 273

T2 = 373 K

$\frac{6.9}{273} = \frac{V2}{373}$

$V2 = \frac{6.9 \times 373}{273}$

V2 = 9.4 litres

Hence, volume at 100°C and a pressure of 76.0cm of mercury is 9.4 litres.

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