Answer:
The required new pressure is 775 mm hg.
Explanation:
We are given that gas has a volume of 185 ml and a pressure of 310 mm hg. The desired volume is 74.0 ml.
We have to find the required new pressure.
Let the required new pressure be '[tex]\text{P}_2[/tex]'.
As we know that Boyle's law formula states that;
[tex]P_1 \times V_1 = P_2 \times V_2[/tex]
where, [tex]P_1[/tex] = original pressure of gas in the container = 310 mm hg
[tex]P_2[/tex] = required new pressure
[tex]V_1[/tex] = volume of gas in the container = 185 ml
[tex]V_2[/tex] = desired new volume of the gas = 74 ml
So, [tex]P_2 = \frac{P_1 \times V_1}{V_2}[/tex]
[tex]P_2 = \frac{310 \times 185}{74}[/tex]
= 775 mm hg
Hence, the required new pressure is 775 mm hg.
