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0.25 moles of a gas at 760 mmHg

and 298 K are contained in a 6.1 L
bottle. What is the pressure of the
system if the amount of gas in the
bottle is reduced to 0.13 mole and
the temperature is reduced to 100 K?

User Latha
by
7.0k points

2 Answers

4 votes

Answer:

132.62

Step-by-step explanation:

i got the answer correct in the program

User Chris Henry
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4 votes

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.

User Paniq
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7.8k points