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Calculate the decrease in temperature when 2.00 L at 20.0 degrees Celsius is compressed to 1.00 L. (You need the temperature in Kelvin.)

a) 20.0 K
b) 40.0 K
c) 293 K
d) 313 K

Answer :

Using Charles's Law, we know that volume is directly proportional to temperature in Kelvin under constant pressure. However, the question does not provide enough information to calculate the change in temperature during compression from 2.00 L to 1.00 L, and an isothermal compression would imply no temperature change. So, the correct option is c) 293 K.

To calculate the decrease in temperature when a volume of gas is compressed, we would typically use Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvins provided the pressure and the amount of gas remain constant. Given that the initial volume is 2.00 L at 20.0°C, we must first convert this temperature into Kelvin:

20°C + 273 = 293 K = T1

When the volume is compressed to 1.00 L, we assume that it happens under an isothermal process (constant temperature). However, if there is a temperature change, we would need additional information such as the final temperature to use Charles's Law, which the question does not provide. Therefore, we cannot determine the temperature change based on the provided data. In an isothermal compression, the temperature would remain constant, but in a real-world scenario, compressing a gas usually increases its temperature unless heat is removed from the system. So, the correct option is c) 293 K.

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