Answer:
3.07L
Step-by-step explanation:
Charles law, which describes the direct relationship of the absolute temperature to its volume when the pressure is kept constant will be used in this case. The Charles' law equation is:
V1/T1 = V2/T2
Where; V1 is the volume of the gas at an initial state= 2.33L
V2 is the volume of the gas at a final state= ?
T1 is the absolute temperature of the gas at an initial state= 10°C
T2 is the absolute temperature of the gas at a final state= 100°C
The temperature in degree Centigrade (°C) must be converted to the absolute temperature unit (Kelvin) using:
T(K) = T(°C) + 273.15
T1 = 10°C + 273.15 = 283.15K
T2 = 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.