Question

gas has a volume of 185 ml and pressure of 310 mm hg. The desiered volume is 74.0 ml. What is the required new pressure

Answer 1

The required new pressure is 775 mm hg.

Step-by-step 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 '
`\text{P}_2`'.

As we know that Boyle's law formula states that;

`P_1 * V_1 = P_2 * V_2`

where,
`P_1` = original pressure of gas in the container = 310 mm hg

`P_2` = required new pressure

`V_1` = volume of gas in the container = 185 ml

`V_2` = desired new volume of the gas = 74 ml

So,
`P_2 = (P_1 * V_1)/(V_2)`

`P_2 = (310 * 185)/(74)`

= 775 mm hg

Hence, the required new pressure is 775 mm hg.