A pneumatic actuator in an industrial robotic arm contains a fixed mass of argon gas. During a compression stroke, the volume of the gas is reduced while its temperature is kept strictly constant.
The table below shows the pressure P1 P_1\,P1 and volume V1 V_1\,V1 before the compression, and the volume V2 V_2\,V2 after the compression.
| Pressure in kPa\text{kPa}kPa | Volume in m3\text{m}^3m3 | |
|---|---|---|
| Before compression | P1=180P_1 = 180P1=180 | V1=1.5V_1 = 1.5V1=1.5 |
| After compression | P2=P_2 =P2= | V2=0.36V_2 = 0.36V2=0.36 |
Calculate the pressure P2 P_2\,P2 of the argon gas after compression. Use the equation:
P2=P1×V1V2 P_2 = \frac{P_1 \times V_1}{V_2} P2=V2P1×V1