Question

3. If a certain quantity of gas has a volume of 30 cm3 at a pressure of 1 × 105 Pa, what is its volume when the pressure is

Answer 1

We know that:

                             $P_{1}V_{1}= P_{2}V_{2}$               .......(1)

Given at $P_{1}=30cm^3$ , $V_{1}=10^5Pa$

a)

When $P_{2}=2*10^5Pa$ , $V_2=$?

Using equation (1)

                                    $30*10^5=2*10^5*V_2$

                                     $V_2=30/2=15cm^3$

b)

When $P_2=5*10^5Pa$, $V_2=?$

using equation (1)

                                     $30*10^5=5*10^5*V_2$

                                    $V_2=30/5=6cm^3$