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

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 '$\text{P}_2$'.

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

                    $P_1 \times V_1 = P_2 \times V_2$

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,  $P_2 = \frac{P_1 \times V_1}{V_2}$  

       $P_2 = \frac{310 \times 185}{74}$

            =  775 mm hg

Hence, the required new pressure is 775 mm hg.