Question

Question 1: Bicycle pump

In this problem, you will look at the pressure developed by the piston in a

bicycle pump

Air at atmospheric pressure (1.0 x 105 Pa) is compressed at constant

temperature in a bicycle pump so that its volume is reduced by a factor of

5.

What is the pressure of the air when compressed?

Answer 1

Answer: The pressure of the air when compressed is
`5.0* 10^5Pa`

Step-by-step explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)` (At constant temperature and number of moles)

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure of gas =
`1.0* 10^5Pa`

`P_2` = final pressure of gas =?

`V_1` = initial volume of gas = V

`V_2` = final volume of gas =
`(V)/(5)`

`1.0* 10^5* V=P_2* (V)/(5)`

`P_2=5.0* 10^5Pa`

Therefore, the pressure of the air when compressed is
`5.0* 10^5Pa`