The cost of a drum dryer is Rs.
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The cost of a drum dryer is Rs. 5 lakhs. Using the 0.6 power rule for chemical equipment cost estimation, the cost of a drum dryer with triple the surface area in lakhs of rupees is:
Show answer & explanation
The 0.6 power rule (or six-tenths rule) states that the cost of equipment scales with the ratio of the new capacity (or size) to the old capacity raised to the power of 0.6. Since the surface area is tripled, the scaling factor is 3^0.6 multiplied by the original cost.
Step-by-step Derivation:
Step 1: Identify the formula for the 0.6 power rule: Cost_new = Cost_old * (Size_new / Size_old)^0.6.
Step 2: Identify the given values: Cost_old = 5 lakhs, Size_new = 3 * Size_old.
Step 3: Substitute the values into the formula: Cost_new = 5 * (3 * Size_old / Size_old)^0.6.
Step 4: Simplify the ratio: Cost_new = 5 * (3)^0.6.
Step 5: Rearrange the expression to match the options: 3^0.6 * 5.