Question

pyrex graduated cylinder has a volume of exactly 200 ml at 0° celsius. if it's temperature increased to 100° celsius what's volume increase or decrease compute the change in volume ?

Answer 1

1. The volume will increase.

2. The change in the volume is 73 mL

1. Determination of the nature of the new volume.

From the question given above, the following data were obtained:

• Initial volume (V₁) = 200 mL

• Initial temperature (T₁) = 0 °C = 0 + 273 = 273 K

• New temperature (T₂) = 100 °C = 100 + 273 = 373 K

• New volume (V₂) =?

Using the Charles' law equation, the new volume of the cylinder can be obtained as follow:

V₁ / T₁ = V₂ / T₂

200 / 273 = V₂ / 373

Cross multiply

273 × V₂ = 200 × 373

273 × V₂ = 74600

Divide both side by 273

V₂ = 74600 / 273

V₂ ≈ 273 mL

From the above calculation, we can see that the new volume increased.

2. Determination of the change in the volume.

The change in the volume can be obtained as illustrated below:

• Initial volume (V₁) = 200 mL

• New volume (V₂) = 273 mL

• Change in volume (ΔV) =?

ΔV = V₂ – V₁

ΔV = 273 – 200

ΔV = 73 mL

Learn more about Charles' law:

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