Question

Air at atmospheric pressure (1.0x10^5Pa) is compressed at constant temperature in a bicycle pump so that its volume is reduced by a factor f of 7.

What is the pressure of the air when compressed?

Answer 1

Use Boyle's Law to find final pressure

$$P_1V_1 =P_2V_2$$

As

$P_1 = 1.0\times 10^5 Pa$

$V_2 = \frac{V_1}{7}$

find $P_2$

$$1.0\times 10^5 V_1 = \frac {V_1}{7} P_2$$

$$P_2 = 7.0\times 10^5 Pa$$