Question

Using Charles's Law, find T₂ given V₁ =10mL, T₁=100K, and V₂=20mL.

a. 200 K .
b. 5 K
c. 20 mL
d. 5 K

Answer 1

Using Charles's Law with the given initial conditions, the final temperature T₂ when the volume of the gas is doubled from 10 mL to 20 mL is calculated to be 200 Kelvin.

Step-by-step explanation:

The student's question involves using Charles's Law to find the final temperature (T₂) of a gas when the initial volume (V₁) is 10 mL, the initial temperature (T₁) is 100 K, and the final volume (V₂) is 20 mL. Charles's Law states that the volume of a gas is directly proportional to its temperature in Kelvin, assuming that the pressure and the amount of gas remain constant. Therefore, the relationship is given by V₁/T₁ = V₂/T₂.

Substituting the given values into the equation, we have:

10 mL / 100 K = 20 mL / T₂

To find T₂, we can cross-multiply and simplify:

T₂ = (20 mL × 100 K) / 10 mL

T₂ = 200 K

Hence, the final temperature T₂ is 200 Kelvin when the volume of the gas is doubled.