what is the decrease in temperature when 2.00 L at 20 degrees celsius is compressed to 1.00L

Answer 1

To calculate the decrease in temperature when a gas is compressed, we can use the ideal gas law:

P1V1/T1 = P2V2/T2

Where:
P1 = initial pressure
V1 = initial volume
T1 = initial temperature
P2 = final pressure
V2 = final volume
T2 = final temperature

Given:
P1 = P2 (since the question does not mention any change in pressure)
V1 = 2.00 L
T1 = 20 degrees Celsius = 293.15 K
V2 = 1.00 L

We are trying to find T2. Rearranging the formula, we get:

T2 = (P1V1/T1) * (V2/P2)

T2 = (P1V1/T1) * (V2/P1)

T2 = (2.00 L / 293.15 K) * (1.00 L) = 0.00682 K

Therefore, the decrease in temperature when 2.00 L at 20 degrees Celsius is compressed to 1.00 L is approximately 0.00682 K.