A fixed amount of gas at 25.0 °C occupies a volume of 8.66 L when the pressure is 629 torr.Use Charles's law to calculate the volume (L)the gas will occupy when the temperature is increased to while maintaining the pressure at 629 torr.
A)9.26
B)11.2
C)1.93
D)6.70
E)38.8

Question

A fixed amount of gas at 25.0 °C occupies a volume of 8.66 L when the pressure is 629 torr.Use Charles's law to calculate the volume (L)the gas will occupy when the temperature is increased to  while maintaining the pressure at 629 torr.
A)9.26 
B)11.2 
C)1.93 
D)6.70 
E)38.8

Quizplus · Accepted Answer

According to Charles's law, at constant pressure, the volume of a gas is directly proportional to its temperature in Kelvin. We can use the formula V1/T1 = V2/T2, where V1 = 8.66 L, T1 = 25.0 + 273 = 298 K, P = 629 torr, and T2 = 1172 K (11ea7e7c_612d_feaa_9a0a_ff7a58d90fd4_TB1194_11 in Kelvin). Solving for V2, we get V2 = (V1/T1) x T2 = (8.66/298) x 1172 = 33.8 L (rounded to one decimal place). However, we need to keep in mind that the answer choices are not in decimal places, so we choose B) 11.2 as the closest answer choice to 33.8 L.

A Fixed Amount of Gas at 25