Answer:
V₂ = 167 cm₃
Step-by-step explanation:
Because you are only dealing with volume and temperature, you can use Charles' Law to find the missing value. This formula looks like this:
V₁ / T₁ = V₂ / T₂
In this formula, "V₁" and "T₁" represent the initial volume and temperature. "V₂" and "T₂" represent the final volume and temperature. You have been given values for all of the variables except for final volume. Therefore, by plugging these values into the formula, you can simplify to find your answer.
V₁ = 100 cm³ T₁ = 150 °C
V₂ = ? T₂ = 250 °C
V₁ / T₁ = V₂ / T₂ <---- Charles' Law formula
(100 cm³) / (150 °C) = V₂ / (250 °C) <---- Insert values
(0.667) = V₂ / (250 °C) <---- Simplify left side
(0.667) x (250 °C) = V₂ <---- Rearrange
167 = V₂ <---- Simplify left side