Question

The gas with an initial volume of 24.0 l at a pressure of 565 mmhg is compressed until the volume is 16.0 l. what is the final pressure of the gas, assuming the temperature does not change?

Answer 1

Answer:- Final pressure of the gas is 848 mmHg.

Solution:- According to Boyle's law, "Volume is inversely proportional to the pressure at constant temperature."

The formula used to solve this type of problems is:

$P_1V_1=P_2V_2$

From given data:

$P_1=565mmHg$

$V_1=24.0L$

$V_2=16.0L

[tex]P_2=?$

Let's plug in the values in the formula:

565 mmHg(24.0 L) = $P_2(16.0L)$

On rearranging the equation for final pressure:

$P_2=(\frac{565mmHg*24.0L}{16.0L})$

$P_2$ = 848 mmHg

So, the final pressure of the gas is 848 mmHg.