A fixed amount of gas at 25.0 °C occupies a volume of 20.0 L when the pressure is 0.8386 bar. Use Charles's law to calculate the volume (L) the gas will occupy when the temperature is increased to while maintaining the pressure at 0.8386 bar.
A) 14.8 L
B) 105 L
C) 3.82 L
D) 22.4 L
E) 27.1 L

Question

A fixed amount of gas at 25.0 °C occupies a volume of 20.0 L when the pressure is 0.8386 bar. Use Charles's law to calculate the volume (L) the gas will occupy when the temperature is increased to  while maintaining the pressure at 0.8386 bar.
A) 14.8 L 
B) 105 L 
C) 3.82 L 
D) 22.4 L 
E) 27.1 L

Quizplus · Accepted Answer

According to Charles's Law, the volume of a gas is directly proportional to its temperature (in Kelvin), given constant pressure. Therefore, we can use the following formula:

(V1/T1) = (V2/T2)

Where V1 = 20.0 L and T1 = 25.0 °C + 273.15 = 298.15 K
And V2 is the volume we want to find and T2 = 11°C + 273.15 = 284.15 K

Plugging in the values, we get:

(20.0 L / 298.15 K) = (V2 / 284.15 K)

Solving for V2, we get:

V2 = (20.0 L / 298.15 K) x 284.15 K
V2 = 27.1 L

Therefore, the gas will occupy a volume of 27.1 L when the temperature is increased to 11°C while maintaining the pressure at 0.8386 bar. The best choice is E.

A Fixed Amount of Gas at 25