The density of Carbon dioxide at 7.0 atm pressure and `27^0C` is :

Options

A. 1.9g`L^(−1)`
B. 12.5g`L^(−1)`
C. 10.9g`L^(−1)`
D. None of these

Explanation

To find the density of carbon dioxide (CO₂) at a pressure of 7.0 atm and a temperature of 27°C, we can use the ideal gas equation and the formula for density derived from it.

### Step-by-Step Solution:

1. **Convert Temperature to Kelvin:**
\[ T(K) = T(°C) + 273 \]
Given \( T = 27°C \):
\[ T = 27 + 273 = 300 \, K \]

**Hint:** Always convert Celsius to Kelvin when using gas laws.

2. **Identify Given Values:**
- Pressure (P) = 7.0 atm
- Molar mass of CO₂ (M) = 44 g/mol
- Gas constant (R) = 0.0821 atm·L/(K·mol)

3. **Use the Density Formula:**
The density (d) of a gas can be calculated using the formula:
\[ d = \frac{PM}{RT} \]

4. **Substitute the Values:**
Now, substitute the values into the density formula:
\[ d = \frac{(7.0 \, \text{atm}) \times (44 \, \text{g/mol})}{(0.0821 \, \text{atm·L/(K·mol)}) \times (300 \, K)} \]

5. **Calculate the Denominator:**
\[ RT = 0.0821 \times 300 = 24.63 \, \text{atm·L/mol} \]

6. **Calculate the Density:**
Now, calculate the density:
\[ d = \frac{308}{24.63} \approx 12.5 \, \text{g/L} \]

7. **Final Result:**
The density of carbon dioxide at 7.0 atm and 27°C is approximately:
\[ d \approx 12.5 \, \text{g/L} \]

### Summary:
The density of carbon dioxide at 7.0 atm pressure and 27°C is **12.5 g/L**.