The air under the pump piston had a pressure of 10^5 Pa and a volume of 200 cm3. At what pressure does this air occupy

The air under the pump piston had a pressure of 10^5 Pa and a volume of 200 cm3. At what pressure does this air occupy a volume of 130 cm3 if its temperature does not change?

To find the value of the required air pressure under the piston after isothermal compression, we use the equality: Pк * Vк = Рн * Vн and Pк = Рн * Vн / Vк.

Variables: Pн – initial air pressure (Pн = 10 ^ 5 Pa); Vн – the initial volume of air under the piston (Vн = 200 cm3); Vк – considered volume (Vк = 130 cm3).

Calculation: Pk = 10 ^ 5 * 200/130 = 1.54 * 10 ^ 5 Pa.

Answer: After isothermal compression, the air under the piston will occupy a volume of 1.54 * 10 ^ 5 Pa.