Answer:
3.07 L
Step-by-step explanation:
This question describes Charles law, which shows the direct relationship of the absolute temperature to its volume when the pressure is kept constant. The Charles' law equation is:
V1/T1 = V2/T2
Where; V1 is the volume of the gas at an initial state
V2 is the volume of the gas at a final state
T1 is the absolute temperature of the gas at an initial state
T2 is the absolute temperature of the gas at a final state.
According to the question, V1 = 2.33L, V2 = ?, T1 = 10°C, T2 = 100°C
The absolute temperature unit, which is Kelvin, need to be used. Hence, we convert °C to Kelvin using:
T(K) = T(°C) + 273.15
T1 (K) = 10°C + 273.15 = 283.15K
T2 (K) = 100°C + 273.15 = 373.15K
To solve for V2 in the above Charles law equation, we make V2 the subject of the formula by saying:
V2 = V1 × T2 / T1
V2 = 2.33 × 373.15 / 283.15
V2 = 869.4395/ 283.15
V2 = 3.0705
Hence, the gas will be expanded to a volume of 3.07L when heated from 10.0°C to 100.0°C.