Answer: 2.3*10^3 Pa.
Explanation: We can use the ideal gas law to determine the pressure of the system: PV = nRT
where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
The ideal gas constant R = 8.314 J/mol*K
Given:
n1 = 0.25 moles
V1 = 6.1 L
T1 = 298 K
P1 = 760 mmHg
n2 = 0.13 moles
V2 = 6.1 L
T2 = 100 K
We can use the equation PV = nRT to find the new pressure P2, using the information provided:
P2 = (n2RT2)/V2
We know that the volume of the bottle remains the same and we can convert the pressure from mmHg to Pascals
P2 = (0.138.314100)/6.1 = 2.3*10^3 Pa
Therefore, the pressure of the system when the amount of gas in the bottle is reduced to 0.13 mole and the temperature is reduced to 100 K is 2.3*10^3 Pa.