Two containers P and Q hold 62.5% and 87.5% alcohol concentrations respectively. Blending 2 liters originating from container P with 4 liters from container Q yields a mixture with an alcohol-to-water proportion of_______?
Show answer Hide answer
Answer: D. 19 : 5
Explanation
Blending two liters at sixty two point five percent alcohol gives one point twenty five liters of pure alcohol. Blending four liters at eighty seven point five percent alcohol adds three point five liters of pure alcohol. Summing total alcohol and water volumes yields a final mixture proportion simplifying to nineteen to five. Mixture concentration problems calculate the total amount of solute by multiplying volume by percentage. Combining solutions requires summing individual solute volumes and individual solvent volumes separately. Alcohol concentrations represent the volumetric proportion of pure ethanol contained in a liquid blend.
Chemistry laboratories use concentration blending formulas to prepare solutions of specific molarities. Beverage manufacturing relies on precise volume and concentration calculations for quality control. Pharmaceutical compounding requires exact proportion calculations to ensure safe medication strengths. Option A suggests sixteen to five which underestimates the total alcohol content in the blend. Option B proposes fourteen to five which results from an arithmetic error during volume summation. Option C offers sixteen to seven which fails to match the correct alcohol to water ratio.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. What yearly payment clears a debt totaling Rs 1092 due across 3 years carrying a 12% simple interest rate?
Show answer Hide answer
Answer: A. Rs.325
Using the standard simple interest installment formula accounts for the principal debt and accumulated interest over three years. Dividing the total debt obligation by the installment factor at a 12 percent simple intere...
Q2. What is the surface area of a square property possessing sides measuring 15 m?
Show answer Hide answer
Answer: A. 225 sq m
The geometric formula for the area of a square is the side length squared. Multiplying fifteen meters by fifteen meters results in an area of two hundred twenty five. The resulting square meters correctly reflect the two...
Q3. Two valves fill a container independently in 20 and 30 hours respectively. Opening both to fill the container, a fissure forms upon reaching full capacity, allowing one-third of the total supplied water to escape. Compute the cumulative duration required to fill the container?
Show answer Hide answer
Answer: B. 16 hrs
Valves filling a container independently in twenty and thirty hours have combined normal filling rates that establish baseline timing. A fissure forming at full capacity allows one third of the total supplied water to es...
Q4. A hexahedron possesses a surface area of 726m2; determine its volumetric capacity.
Show answer Hide answer
Answer: B. 1331 m3
A hexahedron, or cube, has six identical square faces, making each face area equal to 726 divided by six, or 121 square meters. Taking the square root of 121 gives an edge length of 11 meters for the cube. Cubing the edg...
Q5. What is the statistical likelihood of selecting two club suits from a standard thoroughly shuffled 52-card deck?
Show answer Hide answer
Answer: B. 1/17
The probability of drawing the first club suit from a standard deck is thirteen over fifty two. The probability of drawing a second club from the remaining cards is twelve over fifty one. Multiplying these two independen...
Q6. What represents the variance in compound interest on Rs. 5000 over 1 1/2 years at a 4% annual rate when compounded annually versus semi-annually?
Show answer Hide answer
Answer: A. Rs. 2.04
Compound interest calculated annually applies the four percent rate once per year over the one and a half year period. Compounding semi annually applies a two percent rate three times across the three distinct six month...