Answer:
new temperature is approximately 35.0°C
Step-by-step explanation:
To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure.
According to Charles's Law, the ratio of the initial volume to the initial temperature is equal to the ratio of the final volume to the final temperature. Mathematically, this can be expressed as:
(V1 / T1) = (V2 / T2)
Where:
V1 = Initial volume
T1 = Initial temperature
V2 = Final volume
T2 = Final temperature
Given:
V1 = 18.0 dm³
T1 = 18.0°C
V2 = 35.0 dm³
Let's solve for T2:
(V1 / T1) = (V2 / T2)
(18.0 dm³ / 18.0°C) = (35.0 dm³ / T2)
Cross-multiplying:
18.0 dm³ * T2 = 18.0°C * 35.0 dm³
T2 = (18.0°C * 35.0 dm³) / 18.0 dm³
T2 ≈ 35.0°C
Therefore, the new temperature is approximately 35.0°C.