Answer:
2.13 Kg/cm².
Explanation:
We'll begin by calculating the constant that exist between the pressure and the volume. This can be obtained by using the Boyle's law equation as shown below.
Boyle's law states that
PV = K
Where
P is the pressure.
V is the volume.
K is the constant.
We shall determine the value of K as follow:
Pressure (P) = 1.15 Kg/cm²
Volume (V) = 44.8 mL
Constant (K) =?
PV = K
1.15 × 44.8 = K
K = 51.52 Kg/cm²•mL
Finally, we shall determine pressure, when the volume is 24.2 mL. This can be obtained as follow:
Volume (V) = 24.2 mL
Constant (K) = 51.52 Kg/cm²•mL
Pressure (P) =?
PV = K
P × 24.2 = 51.52
Divide both side by 24.2
P = 51.52 / 24.2
P = 2.13 Kg/cm²
Therefore, the pressure is 2.13 Kg/cm².
