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Answer :
Final answer:
Using Gay-Lussac's law, the pressure of the nitrogen dioxide gas at 27°C and the same volume is calculated to be 1.875 atmospheres. Therefore, the correct answer is option c) 1.875 atmospheres.
Explanation:
To find out what the pressure of the nitrogen dioxide gas would be at 27°C, we can use the Gay-Lussac's law of gases, which states that for a given mass and constant volume of an ideal gas, the pressure is directly proportional to its temperature in Kelvin. We can set up a ratio using the initial and final states of the gas:
P1/T1 = P2/T2
Where:
- P1 is the initial pressure (2.5 atm)
- T1 is the initial temperature (127°C = 400 K)
- P2 is the final pressure
- T2 is the final temperature (27°C = 300 K)
We solve for P2:
P2 = P1 * (T2/T1)
P2 = 2.5 atm * (300 K / 400 K)
P2 = 1.875 atmospheres
Therefore, the pressure of the sample at 27°C and the same volume is 1.875 atmospheres.
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