A 1.0 L container is filled with gas at 2.5 atm. Later the gas is transferred into a larger 3.0 L container. Determine the pressure of the gas in the larger container if the temperature of the gas also changed from 350 K to 298 K.Question 4Select one:a.2.1 atmb.0.71 atmc.0.98 atmd.0.83 atm
Question
A 1.0 L container is filled with gas at 2.5 atm. Later the gas is transferred into a larger 3.0 L container. Determine the pressure of the gas in the larger container if the temperature of the gas also changed from 350 K to 298 K.Question 4Select one:a.2.1 atmb.0.71 atmc.0.98 atmd.0.83 atm
Solution
To solve this problem, we can use the combined gas law which states that the ratio of the product of pressure and volume to temperature of one state is equal to the ratio of the product of pressure and volume to temperature of another state. The formula is:
P1V1/T1 = P2V2/T2
Where: P1 = initial pressure = 2.5 atm V1 = initial volume = 1.0 L T1 = initial temperature = 350 K
P2 = final pressure (we are trying to find this) V2 = final volume = 3.0 L T2 = final temperature = 298 K
Rearranging the formula to find P2 gives us:
P2 = P1V1T2 / T1V2
Substituting the given values into the formula gives us:
P2 = (2.5 atm * 1.0 L * 298 K) / (350 K * 3.0 L)
P2 = 0.71 atm
So, the correct answer is b. 0.71 atm.
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