A gas is trapped in a 56 liter vessel. The temperature inside is 234 Celsius and thepressure is 1.1 atmospheres. What is the new pressure if the volume is compressed to54 liters and the temperature is lowered to 200 oC?

The new pressure is 1.06 atmospheres

Explanation:

We can calculate the new pressure from using the Combined gas law equation.

The combined gas law equation is

Where is the initial pressure

is the initial volume

is the initial temperature

is the final pressure

is the final volume

and is the final temperature

From the question,

= 56 L

= 234 °C = (234 + 273.15)K = 507.15K

= 1.1 atm

= 54 L

= 200 °C = (200 + 273.15)K = 473.15K

Now, to determine (the new pressure), we will put the given values into the equation

∴

Then,

atm

Hence, the new pressure is 1.06 atmospheres.

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