a monatomic gas initially at 19 degree celsius is suddenly compressed to 1/10th its original volume .what is temperature after compression?
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To find the temperature after compression, we can use the ideal gas law, which states that the pressure (P) times the volume (V) is equal to the number of moles (n) times the gas constant (R) times the temperature (T). Mathematically, it is represented as PV = nRT.
Since we are dealing with a monatomic gas, the number of moles (n) remains constant. Therefore, we can write the equation for the initial state as P1V1 = nRT1, where P1 is the initial pressure, V1 is the initial volume, and T1 is the initial temperature.
When the gas is compressed to 1/10th its original volume, the new state can be represented as P2(V1/10) = nRT2, where P2 is the final pressure and T2 is the final temperature.
Since we are looking for the final temperature (T2), we need to eliminate the other variables and solve for T2.
Let's rearrange the equation for the final state to isolate T2:
P2(V1/10) = nRT2
T2 = (P2 x V1) / (nR x 10)
Now, we can substitute values into the equation. However, there are several variables missing, including the initial pressure (P1) and the final pressure (P2). Without this information, we cannot determine the final temperature (T2) after compression.