1. A gas is confined in a cylinder with a movable piston at one end. When the volume of the
cylinder is 760 cm3 the pressure of the gas is 125 kPa. If the piston moves down and reduces
the volume to 450 cm3, what is the new pressure within the cylinder?
(20 Points)
O
74 kPa
0
211 kPa
2736 kPa

211 kPa

Explanation:

Given that,

Original pressure of gas (P1) = 125 kPa

Original volume of cylinder (V1) = 760 cm3

New pressure of gas (P2) = ?

New volume of cylinder (V2) = 450 cm3

Since pressure and volume are given while temperature is held constant, apply the formula for Boyle's law

P1V1= P2V2

125 kPa x 760 cm3= P2 x 450 cm3

95000 kPa•cm3 = 450 cm3•P2

Divide both sides by 450 cm3

95000 kPa•cm3/450 cm3 = 450 cm3•P2/450 cm3

211.1 kPa = P2

[Round the value of P2 to 3 significant numbers. Hence, P2 becomes 211 kPa]

Thus, the new pressure within the cylinder is 211 kPa