The air under the pump piston had a pressure of 10 Pa and a volume of 200 cm. If the gas temperature does not change
The air under the pump piston had a pressure of 10 Pa and a volume of 200 cm. If the gas temperature does not change, then at what pressure will it occupy a volume of 130 cm?
Given:
P1 = 10 Pascals – initial air pressure under the pump piston;
V1 = 200 cubic centimeters – initial air volume;
V2 = 130 cubic centimeters – final volume of air.
It is required to determine P2 (Pascal) – the final air pressure under the pump piston.
Since, according to the condition of the problem, the air temperature does not change (T = const), then:
P1 * V1 = P2 * V2;
P2 = P1 * V1 / V2 = 10 * 200/130 = 15.4 Pascal.
(since there is volume in both sides of the equation, it is allowed not to convert cubic centimeters to meters, due to the fact that multiple units will still be reduced).
Answer: the final air pressure under the pump piston will be 15.4 Pascal.