Question 15 of 22beginner🔧 ApplyNumerical2 marks

The mass of equal volumes of gold and water are in the ratio 37:2. If 1 litre of water is 1 kg in mass, what is the mass of 1 litre of gold?

Correct Answer

Given: Ratio of mass of gold to water = 37:2 1 litre of water = 1 kg

Formula: Mass of gold = (37/2) × mass of water

Calculation: Mass of 1 litre of gold = (37/2) × 1 = 18.5 kg

Answer: The mass of 1 litre of gold is 18.5 kg.

Exercise: Figure it Out (Section 4) | Q: 7 | (Page Page 19)
For More Understanding

Explanation

The ratio 37:2 means gold has 37/2 = 18.5 times the mass of water for equal volumes. Since 1 litre of water has mass 1 kg, 1 litre of gold has mass 18.5 kg.

Solution Steps

  1. Step 1: Ratio of mass of gold to water = 37:2

  2. Step 2: For equal volumes, mass of gold = (37/2) × mass of water

  3. Step 3: Given: 1 litre of water = 1 kg

  4. Step 4: Mass of 1 litre of gold = (37/2) × 1 = 18.5 kg

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