Question

Maintaining constant pressure, the volume of a gas is increased from 18.0 dm³ to 35.0dm³ by heating it. If the original temperature was 18.0°C , what is the new temperature in °C? Name the law that is used to solve this problem.

Answer 1

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.