Question

A sample of gas occupies 150 mL at 25 °C. What is its volume when the temperature is increased to 50 °C? (P and n = constant)

A) 150 mL
B) 200 mL
C) 300 mL
D) 400 mL

Answer 1

According to Charles's Law, the volume of a gas is directly proportional to its temperature when pressure and the amount of gas are kept constant. Using the formula V₁T₂ = V₂T₁, we can calculate the new volume of the gas at 50 °C, which is approximately 162.08 mL.

Step-by-step explanation:

According to Charles's Law, the volume of a gas is directly proportional to its temperature, when pressure and the amount of gas are kept constant.

In this case, the initial volume of the gas is 150 mL at 25 °C. If the temperature is increased to 50 °C, we need to find the new volume.

So, using the formula V₁T₂ = V₂T₁:

V₁ = 150 mL, T₁ = 25 °C + 273 = 298 K, T₂ = 50 °C + 273 = 323 K

V₂ = (V₁ * T₂) / T₁ = (150 mL * 323 K) / 298 K = 162.08 mL

Therefore, the volume of the gas when the temperature is increased to 50 °C is approximately 162.08 mL.