Question

Question 1: Bicycle pump

Answer 1

Answer: The pressure  of the air when compressed is $5.0\times 10^5Pa$

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.

$P\propto \frac{1}{V}$     (At constant temperature and number of moles)

$P_1V_1=P_2V_2$  

where,

$P_1$ = initial pressure of gas  = $1.0\times 10^5Pa$

$P_2$ = final pressure of gas  =?

$V_1$ = initial volume of gas  = V

$V_2$ = final volume of gas  = $\frac{V}{5}$

$1.0\times 10^5\times V=P_2\times \frac{V}{5}$  

$P_2=5.0\times 10^5Pa$

Therefore, the pressure  of the air when compressed is $5.0\times 10^5Pa$