Question

A gas has a volume of 450. mL at 55.0 °C. If the volume changes to 502 ml, what is the new temperature?

Answer 1

Answer:

92.9 °C

Explanation:

Step 1: Given data

• Initial volume (V₁): 450. mL

• Initial temperature (T₁): 55.0 °C

• Final volume (V₂): 502 mL

Step 2: Convert 55.0 °C to Kelvin

We will use the following expression.

K = °C + 273.15 = 55.0 + 273.15 = 328.2 K

Step 3: Calculate the final temperature of the gas

If we assume constant pressure and ideal behavior, we can calculate the final temperature of the gas using Charles' law.

T₁/V₁ = T₂/V₂

T₂ = T₁ × V₂/V₁

T₂ = 328.2 K × 502 mL/450. mL = 366 K = 92.9 °C