Question

For the following set of volume/temperature data, calculate the missing quantity after the change is made. Assume that the pressure and the amount of gas remain constant.

V=2.91 L at 23.0 °C
V= 4.20 L at ? °C

Answer 1

Answer:

155 °C

Explanation:

Step 1: Given data

• Initial volume (V₁): 2.91 L

• Initial temperature (T₁): 23.0°C

• Final volume (V₂): 4.20 L

• Final temperature (T₂): ?

Step 2: Convert the initial temperature to Kelvin

We will use the following expression.

K = °C + 273.15 = 23.0°C + 273.15 = 296.2 K

Step 3: Calculate the final temperature

Assuming an ideal gas behavior, we can calculate the final temperature using Charles' law.

V₁/T₁ = V₂/T₂

T₂ = V₂ × T₁/V₁

T₂ = 4.20 L × 296.2 K/2.91 L

T₂ = 428 K

Step 4: Convert the final temperature to Celsius

We will use the following expression.

°C = K - 273.15 = 428 - 273.15 = 155 °C