Question

22.4 liters of a gas at a constant temperature of zero Celsius and a pressure of 1 atmosphere is compressed to a volume of 6.2 liters. What’s is the new pressure of the gas?

Answer 1

Hello!

The answer is: The new pressure of the gas is 3.6 atm.

Why?

From the statement we know that the gas is kept at a constant temperature of 0°C, so, if the gas keeps a constant temperature we can use the Boyle's Law to solve this problem.

The Boyle's Law states that:

$P_{1}V_{1}=P_{2}V_{2}$

Where,  

P is the pressure of the gas.

V is the volume of the gas.

So, the given information is:

$V_{1}=22.4L\\P_{1}=1atm\\V_{2}=6.2L$

Now, substituting it into the Boyle's Law equation to calculate the new pressure, we have:

$P_{1}V_{1}=P_{2}V_{2}\\\\1atm*22.4L=P_{2}*6.2L\\\\P_{2}=\frac{1atm*22.4L}{6.2L}=3.6atm$

So, the new pressure is 3.6 atm.

Have a nice day!