Question

5 litre of air at 750 mm pressure air compressed into an iron cylinder of 1 litre capacity what will be the new pressure in atmosphere if the temperature remains constant

Answer 1

According to Boyle,s law,
P1V1=P2 V2
750x5=P2x1
P2=3750 mm of mercury

Answer 2

Answer: 5 atm

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is inversely proportional to the volume of the gas at constant temperature.  

The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure of gas= 750 mm Hg

$V_1$ =  initial volume of gas = 5 L

$P_2$ = final pressure of gas= ?

$V_2$ = final volume of gas = 1 L

Putting values in above equation, we get:

$750\times 5=P_2\times 1$

$P_2=3750 mmHg=5atm$     (760mmHg=1atm)

Thus the final pressure of the gas is 5 atm.