Question

A 76 gallon steel container is completely filled with carbon tetrachloride. its temperature is 6 ◦c. the average volume coefficient of expansion for carbon tetrachloride is 0.000581(◦c)−1 . how much carbon tetrachloride will spill over when the temperature rises to 18◦c? assume that the steel container is held at constant temperature so that its volume remains constant. answer in units of gal.

Answer 1

To calculate the amount of carbon tetrachloride that spills over when the temperature rises, we need to calculate the change in volume of the carbon tetrachloride.

Step-by-step explanation:

To calculate the amount of carbon tetrachloride that spills over when the temperature rises, we need to calculate the change in volume of the carbon tetrachloride. The equation for volume expansion can be used to calculate this change:

ΔV = V0 * β * ΔT

Where ΔV is the change in volume, V0 is the initial volume, β is the volume coefficient of expansion, and ΔT is the change in temperature.

Given that the initial volume V0 is 76 gallons, the volume coefficient of expansion β is 0.000581 (°C)^-1, and the change in temperature ΔT is 18 - 6 = 12 °C, we can calculate the change in volume:

ΔV = 76 * 0.000581 * 12 = 0.629352 gallons

Therefore, approximately 0.6294 gallons of carbon tetrachloride will spill over when the temperature rises to 18 °C.