A liquid has density 1500 kg/m^3. Convert this value to grams per litre (g/L). What is the correct numerical value?

Introduction / Context:
Unit conversions between SI base units and practical laboratory units are essential in process calculations. Converting kg/m^3 to g/L is common in solutions, density measurements, and material balances.

Given Data / Assumptions:

• Density ρ = 1500 kg/m^3.
• 1 m^3 = 1000 L.
• 1 kg = 1000 g.

Concept / Approach:
Convert the mass unit from kilograms to grams and the volume unit from cubic metres to litres. Because both conversions involve a factor of 1000, the numerical value is unchanged, but the unit switches to g/L. Always track units carefully to avoid mistakes.

Step-by-Step Solution:

Verification / Alternative check:
You can reason dimensionally: kg/m^3 to g/L has a 1:1 numeric mapping since both numerator and denominator scale by 1000. Hence, 1500 kg/m^3 ↔ 1500 g/L directly.

Why Other Options Are Wrong:

• 1.5, 15, 150: These miss one or two powers of ten and reflect common slip-ups in thousand-fold conversions.

Common Pitfalls:
Forgetting that 1 m^3 is 1000 L (not 100 L), or mixing up g/mL with g/L. Also, do not confuse specific gravity (relative to water) with absolute density.

Final Answer:
1500