60cc of a liquid of relative densilty 1.4 are mixed with 40 cc of another liquid of relative density 0.8. The density of the mixture is

Options

A. 1.16 g/cc
B. 2.26 g/cc
C. 11.6 g/cc
D. 116.g/cc

Answer

To find the density of the mixture of two liquids, we can follow these steps:

### Step 1: Calculate the mass of each liquid
1. **Liquid 1**:
- Volume = 60 cc
- Relative Density = 1.4
- Mass of Liquid 1 = Volume × Relative Density = 60 cc × 1.4 g/cc = 84 g

2. **Liquid 2**:
- Volume = 40 cc
- Relative Density = 0.8
- Mass of Liquid 2 = Volume × Relative Density = 40 cc × 0.8 g/cc = 32 g

### Step 2: Calculate the total mass of the mixture
- Total Mass = Mass of Liquid 1 + Mass of Liquid 2
- Total Mass = 84 g + 32 g = 116 g

### Step 3: Calculate the total volume of the mixture
- Total Volume = Volume of Liquid 1 + Volume of Liquid 2
- Total Volume = 60 cc + 40 cc = 100 cc

### Step 4: Calculate the density of the mixture
- Density of Mixture = Total Mass / Total Volume
- Density of Mixture = 116 g / 100 cc = 1.16 g/cc

### Conclusion
The density of the mixture is **1.16 g/cc**.

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