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The temperature of 200 mL of gas originally at STP is changed to –25o C at constant volume. Calculate the final pressure of the gas in mmHg.

User StaleMartyr
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1 Answer

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10 votes

Answer:

691.6 mmHg

Step-by-step explanation:

At standard temperature and pressure, temperature of a system = 273K, and pressure= 1atm

T1= 273.15K

P1= 1atm

T2= (–25°C +273.15 )= 248.15K

From Gay-Lussac's law which expressed that at constant volume, pressure of a particular mass of gas is directly proportional to temperature . It can be expressed as

P1 / T1 = P2 / T2

Where P1= initial pressure

T2= final temperature

T1= initial temperature

P2= final pressure

Making P2 subject of the formula

P2= (P1 × T2)/ P1

Substitute the values we have

P2= (1 atm × 248.15K)/273.15

P2= 0.91 atm

But

1atm= 760 mmHg

0.91 atm= X mmHg

If we cross multiply we have

X mmHg= (760× 0.91)/1

= 691.6 mmHg

Hence, the final pressure of the gas in mmHg is 691.6 mmHg

User Creatiive
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