Louse s Export and Cafe (Louse\'s E&C;) decides it wants to ship Ponderosa pine lumber from Washington State to Southern China for manufacturing into furniture parts They know that a container will physically hold about 80 cubic meters of wood, but they will be billed based on weight, so they want to estimate the weight of the average container load Naturally, they hire a BBE 1002 intern to solve this problem for them! The factory Louse\'s E&C; will buy the lumber from tells them the average dry basis moisture content at time of shipment is 15.0%. From the Wood Handbook the intern learns that the Specific Gravity of Ponderosa pine at 12% is 0.40 (which is close enough for use in your calculations). Also, she determines from the internet the specific Gravity of water is 1000 kg/cubic meter. 1: ABOUT HOW MUCH WILL THE CONTAINER LOAD OF WOOD WEIGH (Excluding the weight of the container itself)? 2: WHAT IS THE WEIGHT OF THE WATER in this container load of Ponderosa pine? 3: If the cost to ship is $100 per metric ton (1000kg). HOW MUCH DOES THE WATER PORTION OF THE LOAD COST TO SHIP?
Specific Gravity of wood is a measure of the ratio of wood\'s density to that of water. It is given to be 0.40. Also the specific gravity of water is given to be 1000kg/cubic meter, that is a cubic meter of water weighs 1000kg.
So a cubic meter of wood weighs 1000 X 0.40 = 400 kg.
Q1. ANS: The container carries 80 cubic meters of wood, so a full container load of wood will weigh
400 X 80 = 32,000 kg = 32 metric ton.
Q2.ANS: It is given that the moisture content is 15%. So 15% of weight is due to water content and it is 32,000 X 15% = 32,000 X 15/100= 4800 kg = 4.8 metric ton.
Q3. ANS: Shipping Cost per metric ton is $100. In Q2 we estimated that the weight of water is 4.8 metric ton, so the cost incurred by shipping water is 4.8 X 100 = 480 $.
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