A foundry releases 6.0 U.S. tons of gas into the atmosphere every day. The gas mixture contains 2.5% sulfur dioxide (SO subscript 2) by weight. How many pounds of sulfur dioxide are released in one week?
Show all work needed.
6.0 U.S. tons to pounds. Aren't there 2000 pounds in a ton?
pounds x 0.025 = pounds SO2/day
pounds SO2/day x 7 days = pounds SO2/week.
1.05IBs
To find the number of pounds of sulfur dioxide released in one week, we need to follow these steps:
Step 1: Convert tons to pounds
Since the given measurement is in U.S. tons, we first need to convert it to pounds. There are 2,000 pounds in a ton, so:
6.0 tons * 2,000 pounds/ton = 12,000 pounds
So, the foundry releases 12,000 pounds of gas into the atmosphere every day.
Step 2: Calculate the weight of sulfur dioxide
Given that the gas mixture contains 2.5% sulfur dioxide by weight, we can find the weight of sulfur dioxide using the weight of the gas released:
Weight of sulfur dioxide = (Percentage of SO2 / 100) * Weight of gas released
Weight of sulfur dioxide = (2.5 / 100) * 12,000 pounds
Weight of sulfur dioxide = 0.025 * 12,000 pounds
Weight of sulfur dioxide = 300 pounds
So, the foundry releases 300 pounds of sulfur dioxide every day.
Step 3: Calculate the total weight of sulfur dioxide released in one week
To find the total weight of sulfur dioxide released in one week, we multiply the daily amount by the number of days in a week:
Total weight of sulfur dioxide in one week = Weight of sulfur dioxide per day * Number of days in a week
Total weight of sulfur dioxide in one week = 300 pounds/day * 7 days/week
Total weight of sulfur dioxide in one week = 2,100 pounds
Therefore, the foundry releases 2,100 pounds of sulfur dioxide into the atmosphere in one week.