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 its capacity (or size) raised to the power of 0.6. Since the surface area is tripled, the cost is multiplied by 3^0.6.
Step-by-step Derivation:
Step 1: Identify the formula for the 0.6 power rule: Cost_2 = Cost_1 * (Capacity_2 / Capacity_1)^0.6.
Step 2: Assign the given values: Cost_1 = 5 lakhs, Capacity_2 / Capacity_1 = 3 (since the surface area is tripled).
Step 3: Substitute the values into the formula: Cost_2 = 5 * (3)^0.6.
Step 4: Rearrange the expression to match the options: 3^0.6 * 5.