Question

If you have a 0.50 liter piston filled with air at 14.7 psi, what is the pressure on the piston when the volume increases to 0.65 liters assuming no temperature change?

Answer 1

Answer on Question #53845 – Chemistry – General chemistry

Question:

If you have a 0.50 liter piston filled with air at 14.7 psi, what is the pressure on the piston when the volume increases to 0.65 liters assuming no temperature change?

Solution: Isothermal change of system is calculated according to the equation:

$$p_1V_1 = p_2V_2$$

, where $p_1V_1$ – the initial volume and pressure and $p_2V_2$ – the final volume and pressure.

Thus, $p_2 = p_1V_1/V_2 = (0.5 \, l \times 14.7 \, \text{psi}) / 0.65 \, l = 11.31 \, \text{psi} = 77.979 \, \text{kPa}$

Answer: the final pressure is 11.31 psi.

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