Answer:
9.66 L
Step-by-step explanation:
The following data were obtained from the question:
Initial temperature (T1) = 84 ºC
Initial volume (V1) = 10 L
Final temperature (T2) = 72 ºC
Final volume (V2) =..?
Next, we shall convert celsius temperature to Kelvin temperature. This can be obtained as follow:
T(K) = T(°C) + 273
Initial temperature (T1) = 84 ºC
Initial temperature (T1) = 84 ºC + 273 = 357 K
Final temperature (T2) = 72 ºC
Final temperature (T2) = 72 ºC + 273 = 345 K
Since the pressure is constant, it means the gas is obeying Charles' law. Thus, we shall determine the new volume of the gas as follow:
Initial temperature (T1) = 357 K
Initial volume (V1) = 10 L
Final temperature (T2) = 345 K
Final volume (V2) =..?
V1/T1 = V2/T2
10/357 = V2/345
Cross multiply
357 × V2 = 10 × 345
Divide both side by 357
V2 = (10 × 345) / 357
V2 = 9.66 L
Thus, the new volume of the gas is 9.66 L.